Question

Which of the following are solutions to the equation below? Check all that apply. X^2 - 10x + 25 = 17

Answer 1

x=5+√17 or 5-√17

Explanation:

Given the equation x²-10x+25=17 we first make the equation to be in the form

ax²+bx+c=0.

Therefore, we cross 17 to the other side.

x²-10x+25-17=0

x²-10x+8=0

If we substitute the coefficients in the quadratic formula we get:

x=(-b±
`\sqrt{b^(2)-4ac }`)/2a

=(10±
`\sqrt{(-10)^(2)-(4*1*8)}`)/(2×1)

x=5+√17 or 5-√17