Question

What are the solutions to the quadratic equation 3(x - 4)2 = 75?

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x= -9 and x = 1
x= -5 and x = 5
x= -4 and x = 4
x = -1 and x = 9

Answer 1

3(x-4)²=75 //:3

(x-4)²=25

(x-4)²-25=0

x²+x+9x-9=0

x(x+1)-9(x+1)=0

(x+1)(x-9)=0

x+1=0 x-9=0

x=-1 x=9

x=-1 and x=9