Question

Find the root of the given quadratic equation by factoring
$1. \: 4 {x}^{2} + 4x + 1 = 0$
$2. \: {x}^{2} + 22x + 121 = 0$
$3. \: 5 {a}^{2} +20a - 20 = 0$
$4. \: {x}^{2} + 9x + 14 = 0$
$5. \: {x}^{2} - 8x + 15 = 0$

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Answer 1

1). 4x 2 + 4x + 1 = 0

Let us simplify the given equation,

By factorizing, we get

4x2 + 2x + 2x + 1=0

2x(2x+1)+1(2x+1)=0

(2x+1)(2x+1)=0

So,

(2x+1)=0or (2x+1)=0

2x=−1 or 2x=−1

x=−1/2 or x=−1/2

∴ Value of x=−1/2,−1/2

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