Question

13.The roots of the quadratic equation x2+5x-14=0 is
A. 2, 7
B. -2, 7
C. -2, -7
D. 2, -7

Answer 1

Answer:

A is the answer that is (2,7)

Step-by-step explanation:

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Answer 2

Answer:

Option (D)2 , -7 are the required roots of the given equation .

Step-by-step explanation:

Explanation:

Given , a quadratic equation $x^2 + 5x - 14 = 0$

Middle term splitting system- In this system splitting of middle term in to two factors. In Quadratic factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term.

Step 1:

From the question we have ,

$x^2 + 5x - 14 = 0$

⇒$x^{2} +7x - 2x - 14 = 0$   [By middle term splitting method ]

⇒x(x + 7) -2(x + 7)  = 0

⇒(x+ 7) (x - 2 ) = 0

⇒x + 7 = 0 , x - 2 = 0

⇒x = -7 , x = 2

Final answer:

Hence ,  the roots of the given quadratic equation is -7, and 2.

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