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Find the roots of 4x^2 + 7x + 3 = 0 using factorization.

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joana1234 | Student, Grade 10 | eNoter

Posted June 9, 2012 at 5:53 PM via web

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Find the roots of 4x^2 + 7x + 3 = 0 using factorization.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted June 9, 2012 at 5:56 PM (Answer #1)

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The roots of 4x^2 + 7x + 3 = 0 have to be determined using factorization.

4x^2 + 7x + 3 = 0

=> 4x^2 + 4x + 3x + 3 = 0

=> 4x(x + 1) + 3(x + 1) = 0

=> (4x + 3)(x + 1) = 0

(4x + 3) = 0

=> x = -3/4

(x + 1) = 0

=> x = -1

The roots of the equation are x = -1 and x = -3/4

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