Question

x2 = x + 72 quadratic equation​

Answer 1

Answer: -8 and 9

Step-by-step explanation:

x^2-x-72=0

x^2-9x+8x-72=0

x(x-9)+8(x-9)=0

(x+8)(x-9)=0

hence x=-8 and x=9

Answer 2

${x}^{2} = x + 72 \\ \\ {x}^{2} - x - 72= 0 \\ \\ {x}^{2} - 9x + 8x - 72 = 0 \\ \\ x(x - 9) + 8(x - 9) = 0 \\ \\ (x - 9)(x + 8) = 0 \\ \\ x = 9 \\ \: x = - 8$