Solve 2x²-3x-7=0 using completing the square method
Answers
Answer:
Use the formula ( b 2 ) 2 in order to create a new term.
Solve for x by using this term to complete the square.
Exact Form: x = ± √ 65 4 + 3 4
Decimal Form: x = 2.76556443 … , − 1.26556443 …
Related Questions
What's the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units? A. 10 units B. 20 units C. 24.7 units D. 29.2 units
if the football team raises at least $5000, then they can buy new uniforms. the football team raised $5800 what is the conclusion
shella is participating in a multi-day bike trip. on the first day, she rode 100 miles in 8 hours. use the expression d/t where d is the distance traveled and t is the travel time to find her average rate of travel. include units when evaluating the expression.
A community college has 2,000 students and 50 instructors. Next year the enrollment will be 6,000. How many new instructors should be hired if the college wants to keep the same studentto instructor ratio?
b)1
c)-5
d)-10
Answers
The solution is Option A.
The value of x in the equation 4x - 5 = -6x + 15 is x = 2
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be = A
Now , the value of equation A is
4x - 5 = -6x + 15 be equation (1)
Now , on simplifying the equation , we get
4x - 5 = -6x + 15
Adding 6x on both sides of the equation ,we get
10x - 5 = 15
Adding 5 on both sides of the equation , we get
10x = 20
Divide by 2 on both sides of the equation, we get
x = 20/10
x = 2
Therefore , the value of x is 2
Hence , The value of x in the equation 4x - 5 = -6x + 15 is x = 2
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4x + 6x = 15 + 5 calculate
10x = 20 divide all by 10
x = 2 ALTERNATIVE A
Answers
5100÷100=51
68+51=119
answer-119
hope it helps
Find the height, in feet, of the ball after 6 seconds in the air.
I have no idea any help?
Answers
f(x) = Ax^2 + Bx
Substituting the known data,
(1) 148 = A(1^2) + B(1)
(2) 272 = A (2^2) + B (2)
solving for A and B simultaneously,
A = -12
B = 160
To answer this problem, substitute 6 to x. Thus, after 6 seconds, the height is 528 feet.
Answers
Answer:
3 boxes.
Step-by-step explanation:
We are told that Janice bought juice packets for the 15 players on the soccer team. The juice packets come in boxes of 6.
To find the number of boxes that Janice need to buy for 25 players, we will divide 15 by 6.
Since the juice packets come in boxes of 6, so we will round our answer to nearest whole number.
Therefore, Janice will buy 3 boxes of juice packets for 15 players.
Final answer:
The question entails a simple division operation of 15 players divided by 6 juice packets per box which gives 2.5. However, since Janice can't buy half a box, she ends up buying 3 boxes of juice packets.
Explanation:
To answer your question, we need to perform a simple division arithmetic operation. This involves taking the total number of players which is 15 and dividing that by the number of juice packets in one box, which is 6 . The calculation is as follows: 15 ÷ 6 = 2.5. However, Janice cannot purchase half of a box so she would need to round up to the nearest whole number. Hence, Janice bought 3 boxes of juice packets for the soccer team.
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Answers
The sum of - and
is:
To find the sum of and
you simply add the like terms together.
Like terms are terms that have the same variable and the same exponent.
Now, add the like terms:
5x + (-x) = 4x
-8 + (-3) = -11
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Answer:
-13x^2+4x-11
Step-by-step explanation:
-3x^2+5x-8+(-10x^2-x-3)=?
-3x^2+5x-8-10x^2-x-3=?
(combine like terms); -13x^2+4x-11
So, your answer is -13x^2+4x-11
Answers
Final answer:
Angle ADB is 3 times larger than angle BDC. By assigning a variable to BDC, an equation can be formed to find the values of both angles. BDC is 45 degrees and ADB is 135 degrees.
Explanation:
The given problem states that angle ADB is 3 times larger than angle BDC. Let's assign a variable to angle BDC, such as x degrees. Since angle ADB is 3 times larger, it would be 3x degrees. The sum of angle ADB and angle BDC is equal to 180 degrees, as they form a straight line.
Therefore, we can write the equation 3x + x = 180 to represent the sum of the angles.
Simplifying the equation, we get 4x = 180. Dividing both sides by 4, we find that x = 45 degrees. Hence, angle BDC is 45 degrees and angle ADB is 3 times larger, resulting in 3 * 45 = 135 degrees.
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