Question

Jedida solved the quadratic equation x2−96=4x%0D%0A%0D%0A2%0D%0A−%0D%0A96%0D%0A=%0D%0A4%0D%0A%0D%0A by factoring. Her work is shown below. At which step did Jedida first make a mistake, if at all?%0D%0A%0D%0Ax2−96=4x%0D%0A%0D%0A2%0D%0A−%0D%0A96%0D%0A=%0D%0A4%0D%0A%0D%0A %0D%0AStep 1: x2+4x−96=0%0D%0A%0D%0A2%0D%0A+%0D%0A4%0D%0A%0D%0A−%0D%0A96%0D%0A=%0D%0A0%0D%0A %09Add 4x%0D%0A4%0D%0A%0D%0A to both sides.%0D%0AStep 2: (x+12)(x−8)=0%0D%0A(%0D%0A%0D%0A+%0D%0A12%0D%0A)%0D%0A(%0D%0A%0D%0A−%0D%0A8%0D%0A)%0D%0A=%0D%0A0%0D%0A %09Factor. %0D%0AStep 3: x+12=0%0D%0A%0D%0A+%0D%0A12%0D%0A=%0D%0A0%0D%0A or x−8=0%0D%0A%0D%0A−%0D%0A8%0D%0A=%0D%0A0%0D%0A %09Use the Zero Product Property. %0D%0Ax=−12%0D%0A%0D%0A=%0D%0A−%0D%0A12%0D%0A or x=8

Answer 1

Jedida did not make any mistake in solving the quadratic equation.