Share

# 4(2x – 3)Square Root 2 – (2x – 3) – 14 = 0 - ICSE Class 10 - Mathematics

#### Question

4(2x – 3)² – (2x – 3) – 14 = 0

#### Solution

4(2x - 3)^2 - (2x - 3) -  14 = 0

Let 2x -  3= y

then 4y^2 - y - 14 = 0

=> 4y^2 - 8y + 7y - 14 = 0

=> 4y(y - 2) + 7(y - 2) = 0

=> (y -2)(4y + 7) = 0

if y - 2 =0 or 4y + 7 = 0

=> y = 2 or y = (-7)/4

=> 2x =5 or 2x = 5/4

=> x = 5/2 or x = 5/8

Is there an error in this question or solution?

#### Video TutorialsVIEW ALL [5]

Solution 4(2x – 3)Square Root 2 – (2x – 3) – 14 = 0 Concept: Quadratic Equations.
S