Question

Complete the steps in solving the quadratic function 7x – 9 = 7x2 – 49x by completing the square

Answer 1

x={-sqrt(103/7)+4, sqrt(103/7) +4}

Explanation:

Subtract 7x from both sides: 7x^2-56x=-9

Divide both sides by 7: x^2-8x=-9/7

Solve for a (2ax=-8x): -4

Plug a back in: -9/7+(-4)^2=103/7

Complete the square: (x-4)^2=103/7

Therefore, x={-sqrt(103/7)+4, sqrt(103/7) +4}