Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x2 - 5x + 1 = 0

Find (x2 - 11) (x2 - 12)

Options:

156

131

181

132

Correct Answer:

131

Explanation:

Given, x2 - 5x + 1 = 0

x2 = 5x - 1    ---------------(1)

put the value of x2  in  below equation

 = (x2 - 11) (x2 - 12)

= (5x - 1 - 11) ( 5x - 1 - 12)

= (5x - 12) (5x - 13) = 25x2 - 125x + 156

25(x2 - 5x) + 156 ⇒ x2 - 5x = -1  from equation (1)

-25 + 156 = 131