# Quantitative Aptitude – Algebra – Quadratic Equation – If x + 1 = x^2

## Question If x + 1 = x^2 and x > 0, then 2x^4 is

A) 6 + 4√5
B) 3 + 5√5
C) 5 + 3√5
D) 7 + 3√5

Option (D)

## Solution

As per CAT 2017 – Quantitative Aptitude – Algebra – Quadratic Equation, we can see that
x+1=x^2
Find out the roots of x = [1+/- root(5)]/2
X2 = [3 +/- √5]/2
X4 = [7 +/-3√5]/2
2×4 = 7 +/- 3√5
As the only option is 7 + 3√5 So, we go with that.
Option (D)

## CAT 2017 Questions from Quantitative Aptitude – Algebra

Quantitative Aptitude – Algebra – Quadratic Equations – Ques: The minimum possible value of the sum of the squares of the roots of the equation x^2 + (a + 3)x – (a + 5) = 0 is
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