Question

For what value of m is the equation true? x^{2} +10x+11= m+(x=5)^2-25

Answer 1

We are given the equation:

x^2 + 10x + 11 = m + (x-5)^2 - 25

To determine the value of m, assign a value of x and solve for m

if x = 1, the equation becomes

1^2 + 10(1) + 11 = m + (1 -5)^2 - 25

solve for m

m = 31

When m = 31, the equation is true. <span />