What are the solution(s) to the quadratic equation 50 – x2 = 0? x = ±2Plus or minus 2 StartRoot 5 EndRoot x = ±6Plus or minus 6 StartRoot 3 EndRoot x = ±5Plus or minus 5 StartRoot 2 EndRoot no real solution

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Question:

What are the solution(s) to the quadratic equation 50 – x2 = 0?

A) x = ±2Plus or minus 2 StartRoot 5 EndRoot

B) x = ±6Plus or minus 6 StartRoot 3 EndRoot

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

D) no real solution

Answer:

C) x = ±5Plus or minus 5 StartRoot 2 EndRoot

The solution(s) to the quadratic equation is  ±5√2

Solution to systems of equations

Quadratic equations are equations that has a leading degree of 2

Given the quadratic equation 50 – x^2 = 0

Given

50 – x^2 = 0

Subtract 50 from both sides

50 - 50 - x^2 = 0 - 50
-x^2 = -50

Take the square root of both sides

x = ±√50
x = ±5√2

Hence the solution(s) to the quadratic equation is  ±5√2

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