Question

Roman completed the square to solve the equation 0=−x2+6x−15 0 = − x 2 + 6 x − 15 as follows. Step 1: x2−6x+15=0 x 2 − 6 x + 15 = 0 Step 2: x2−6x+15−15=0−15 x 2 − 6 x + 15 − 15 = 0 − 15 Step 3: x2−6x+9=−15+9 x 2 − 6 x + 9 = − 15 + 9 Step 4: (x−3)2=−6 ( x − 3 ) 2 = − 6 Step 5: x−3=±−6−−−√ x − 3 = ± − 6 Step 6: x−3−3=−3±−6−−−√ x − 3 − 3 = − 3 ± − 6 Step 7: x=−3±i6√ x = − 3 ± i 6 Did Roman make a mistake? If so, where?

Answer 1

yes

Explanation:

at step 6, his meant to add 3 to both side not subtract

and at step 7, it's meant to be i√6 not i6

hope this helps:)