Question

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

Answer 1

x=1

x=11

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