Question

Given the quadratic equation x 2−4x+3=2(x−p) 2+q, find the values of a and

b such thatx 2 −4x+3=2(ax−b) 2+q.
a) a=2, b=1
b) a=1, b=2
c) a=−1, b=2
d) a=−2, b=−1

Answer 1

To find the values of a and b in the equation, we need to match the coefficients of the quadratic terms on both sides of the equation. Comparing the coefficients, the values of a and b are 2 and 1, respectively.

Step-by-step explanation:

To find the values of a and b in the equation x^2-4x+3=2(ax-b)^2+q, we need to match the coefficients of the quadratic terms on both sides of the equation. Comparing the coefficients, we have:

a = 2 and b = 1

Therefore, the correct answer is a = 2 and b = 1 (option a).