14x + 5 - 3x²=0 find the roots of the quadratic equation by factorization.
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Step-by-step explanation:
Given
3x2 – 14x – 5 = 0
⇒ 3x2 – 14x – 5 = 0
⇒ 3x2 – 15x + x – 5 = 0
⇒ 3x(x – 5) + 1(x – 5) = 0
⇒ (3x + 1)(x – 5) = 0 Now, either 3x + 1 = 0
⇒ x =−13−13 Or, x – 5 = 0
⇒ x = 5 Thus, the roots of the given quadratic equation are 5 and x = −13−13 respectively
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