Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers. a.)(x - 4)2 = 3 b.) (x - 3)2 = 2 c.)(x - 2)2 = 1 d.) (x - 1)2 = 4
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the equation:
x^2 - 8x + 13
Write in the form
(x - a)^2 = b
Solution:
Make first the given equation into a perfect square by adding 3 on both sides of the equation.
= x^2 - 8x + 13
x^2 - 8x + 13 + 3 = 3
x^2 - 8x + 16 = 3
Since x^2 and 16 are now perfect square numbers, we can now equate the equation into factored form.
( x - 4)^2 =3
Final answer:
a. ( x - 4 )^2 =3