MATHEMATICS HIGH SCHOOL

Determine the discriminant for the quadratic equation 0=-2x^2+3 Based on the discriminant value, how many real numbersolutions does the equation have?

Answers

Answer 1
Answer:

Answer:

This problem has two number solutions. The solutions are x = ±√ 1.500 = ± 1.22474.

Step-bystepexplanation:

Step 1 :

Equation at the end of step 1 :

0 - ((0 - 2x2) + 3) = 0

Step 2 :

Trying to factor as a Difference of Squares :

2.1 Factoring: 2x2-3

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 2 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Equation at the end of step 2 :

2x2 - 3 = 0

Step 3 :

Solving a Single Variable Equation :

3.1 Solve : 2x2-3 = 0

Add 3 to both sides of the equation :

2x2 = 3

Divide both sides of the equation by 2:

x2 = 3/2 = 1.500

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

x = ± √ 3/2

The equation has two real solutions

These solutions are x = ±√ 1.500 = ± 1.22474

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Help please I dunuuuuuuuuuu

Answers

Step-by-step explanation:

-2/xy is it

A jar has 15 pink gumballs, 21 blue gumballs, 19 red gumballs, and 19 yellow gumballs. Which colored gumball has the least probability of being picked when a child randomly draws one out of the jar? Pink Blue Red Yellow

Answers

Pink is least represented so it has the least probability of being picked.
Pink is less likely to be chosen.

I will mark brainliest to the best answer!! Please please help!!Graph the system of equations to determine whether it has no solution, infinitely many solutions, or one solution:
2x-y=4
X+2y=2

A) no solution

B) one solution

C) infinitely many solutions

Answers

Answer:

  B)  one solution

Step-by-step explanation:

The ratio of x-coefficient to y-coefficient is different in the two equations, so the lines have different slopes. Two lines with different slopes will always have exactly one point of intersection. You don't need to graph the equations to know there is ...

  one solution

__

A graph is attached. As it happens, the two lines are perpendicular. The solution is (2, 0).
One solution is the answer

Solve the system using multiplication for the linear combination method.6x – 3y = 3
–2x + 6y = 14
What is the solution to the system?
(2, 1)
(2, –3)
(2, –1)
(2, 3)

Answers

If you would like to solve the system of equations, you can calculate this using the following steps:

6x – 3y = 3
–2x + 6y = 14     /*3
_________
6x – 3y = 3
–6x + 18y = 42
_________
-3y + 18y = 3 + 42
15y = 45
y = 45/15
y = 3

6x – 3y = 3
6x - 3 * 3 = 3
6x = 3 + 9
6x = 12
x = 12/6
x = 2

(x, y) = (2, 3)

The correct result would be (2, 3).

Answer:

The answer is D

(2,3)

Step-by-step explanation:

1/3,0,1,-2 what are the next 3 terms of the sequence

Answers

Hello,

One solution may be
a_(n+1)=a_(n)*(-3) +1

a_(0)=(1)/(3)

a_(1)=(1)/(3)*(-3) +1=0
a_(2)=0*(-3) +1=1
a_(3)=1*(-3) +1=-2

a_(4)=(-2)*(-3) +1=7
a_(5)=7*(-3) +1=-20
a_(6)=(-20)*(-3) +1=61
...
REM:
a_(n)=((-3)^(n))/(12)+(1)/(4)

What Multiplies to 2 and adds up to Negative 2

Answers

xy=2
x+y=-2
minus x

y=-2-x
sub
x(-2-x)=2
-2x-x^2=2
add 2x+x^2 both sides
0=x^2+2x+2
quadratic formula
if  you have
ax^2+bx+c=0
x=\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}

x^2+2x+2
a=1
b=2
c=2
x=\frac{-2+/- \sqrt{2^(2)-4(1)(2)} }{2(1)}
x=(-2+/- √(4-8) )/(2)
x=(-2+/- √(-4) )/(2)
x=(-2+/- √(-1)√(4) )/(2)
remember √-1=i
x=(-2+/- i√(4) )/(2)
x=(-2+/- 2i)/(2)
x=-1+/-i

x=i-1 or -i-1

the 2 numbers are i-1 and -i-1
-2 I think it will be that cause the 2
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