What is the solution set of the following equation? 4x 2 - 25 = 0 {±} {±} {±5}

Answers

Answer 1
Answer:

Answer:

\large\boxed{x=\pm(5)/(2)}

Step-by-step explanation:

4x^2-25=0\qquad\text{add 25 to both sides}\n\n4x^2=25\qquad\text{divide both sides by 4}\n\nx^2=(25)/(4)\to x=\pm\sqrt{(25)/(4)}\n\nx=\pm(√(25))/(\sqrt4)\n\nx=-(5)/(2)\ \vee\ x=(5)/(2)

Answer 2
Answer:

Final answer:

The solution set of the equation 4x² - 25 = 0 is {±2.5}.

Explanation:

The given equation is a quadratic equation of the form ax² + bx + c = 0, where a = 4, b = 0, and c = -25. To find the solution set, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

Plugging in the values, we have:

x = (-0 ± √(0² - 4(4)(-25))) / (2(4))

Simplifying further, we have:

x = (±√(0 + 400)) / 8

x = ±√(400) / 8

x = ±20 / 8

Hence, the solution set of the equation is {±2.5}.

Learn more about Quadratic equations here:

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Please Answer!!!!Which set of coordinates satisfies equations 3x-2y=15 and 4x-y =20?
A. (2,-7)
B. (1,-6)
C. (0,-7.5)
D. (5,0)

Answers

Answer:

Its A

Step-by-step explanation:

Sorry I don't have time but it is A I had this before

Three rational numbers between 1/4 and 1/5

Answers

Rational numbers are written as a fraction

Between 1/5 and a 1/4 is  same as between   16/80 and  20/80

So 3 rationals between these could be    17/80 ,  18/80 and 19/80

= 17/80, 9/40 and 19/80  (answer)

1:4

1:5

4:1

5:1

hope this helps!!!

sorry if its wrong

The sum of two buckets of apples if one bucket has 9 fewer than another

Answers

Answer:

Step-by-step explanation:

So the sum of their ages is $2 + 8 + 8 = \boxed{18}$. The answer is $\mathrm{(D)}$.

Jan walks 4 miles each week for one month . How many miles does she walk altogether

Answers

She walks 16 miles because 4 miles each week times the weeks in a month
4 times 4 so that would be 16

The solution set for the inequality x + 4 ≤ 1/2 (x - 3) includes -11 as an element.

Answers

Answer:

x ≤ -11, Yes. The solution set include -11.

Step-by-step explanation:

x+4\leq(1)/(2)(x-3)\qquad\text{multiply both sides by 2}\n\n2x+8\leq1(x-3)\n\n2x+8\leq x-3\qquad\text{subtract 8 from both sides}\n\n2x\leq x-11\qquad\text{subtract x from both sides}\n\n\boxed{x\leq-11}

Wats was the first number made​

Answers

Answer:

Step-by-step explanation:

hat was the first number created?

For example, the Arabic numeral system we're all familiar with today is usually credited to two mathematicians from ancient India: Brahmagupta from the 6th century B.C. and Aryabhat from the 5th century B.C. Eventually, numbers were necessary for more than simply counting things.

Answer:

0

Step-by-step explanation: