4 (x-6) ²-3=97 what is the highest and lowest answer

x=1

x=11

Step-by-step explanation:

4 (x-6) ²-3=97

Add 3 to each side

4 (x-6) ²-3+3=97+3

4 (x-6) ²=100

Divide each side by 4

4/4 (x-6) ²=100/4

(x-6) ²=25

Take the square root of each side

sqrt (4 (x-6) ²) = sqrt (25)

x-6 = ±5

Separating into two equations

x-6 = 5 x-6 = - 5

Add 6 to each side

x-6+6 = 5+6 x-6+6 = - 5+6

x=11 x=1

The two solutions are 1, 11