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# Solve the Following Quadratic Equations by Factorization: (X-1/2)^2=4 - CBSE Class 10 - Mathematics

ConceptSolutions of Quadratic Equations by Factorization

#### Question

Solve the following quadratic equations by factorization:

(x-1/2)^2=4

#### Solution

We have,

(x-1/2)^2=4

(x-1/2)^2-4=0

(x-1/2)^2-(2)^2=0

rArr[(x-1/2)+2][(x-1/2)-2]=0          ......[∵ a2 - b2 = (a + b)(a - b)]

rArr(x-1/2+2)=0 or (x-1/x-2)=0

rArrx=2-1/2 or x=2-1/2

rArrx=(4-1)/2 or x=(4+1)/2

rArrx=3/2 or x=5/2

Hence, x=3/2 or x=5/2

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Solution Solve the Following Quadratic Equations by Factorization: (X-1/2)^2=4 Concept: Solutions of Quadratic Equations by Factorization.
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