Question

Complete the steps for solving 7 = -2x2+10x

Answer 1

Step 1: move all terms to one side

7 + 2x^2 - 10x = 0

Step 2: Use the quadratic formula

X = 10 + 2(square root of 11). 10-2 _/—-11
————————————. ——————
4. , 4

Step 3: Simplify solutions

X= 5 + (square root of 11) 5 - (square root 11)
——————————- , ————————
2. 2

Answer 2

Factor -2 out of the variable

Add 24/4 inside the parentheses and subtract 25/2

on the left side of the equation

White the perfect square trinomial as a binomial squared

Divide both sides by -2

Use the square root property of equality

Add 5/2 to both sides