Question

#26 What are the solutions to the equation 4x2 - 52x + 169 = 121?

Answer 1

Answer:

D. {1, 12}​

Step-by-step explanation:

4X^2-52x+169=121

The equation can be summarized thus:

4X^2-52x+169-121=0

4X^2-52x+48=0

divide the each number of the equation by 4

4X^2/4-52x/4+48/4=0

x^2-13x+12=0

we need to numbers that when we multiply them the result is 12 and -13 when we add together

-1 and -12(-1-12=-13 and -1*-12=12)

x^2-x-12x+12

x(x-1)-12(x-1)

(x-1)(x-12)

x-1=0 or x-12=0

x=1 or x=12