The first few steps in solving the quadratic equation 8x2 + 80x = −5 by completing the square are shown.8x2 + 80x = −58(x2 + 10x) = −58(x2 + 10x + 25) = −5 + ______Which number is missing in the last step?
Accepted Solution
A:
Answer:200Step-by-step explanation: 8x^2 + 80x = −5Factor out an 88(x^2 + 10x) = −5Take the coefficient of the x term, divide by 2 and then square it10/2 = 5, 5^2=25Remember we have the 8 outside, so we are multiplying by 88*25 =200Add 200 to each side8(x^2 + 10x + 25) = −5 + 200