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What are the roots of the quadratic equation 21x2−37x−28=0?21x^2 - 37 x - 28 = 0 ?21x2−37x−28=0?​​
Question

What are the roots of the quadratic equation 21x237x28=0?21x^2 - 37 x - 28 = 0 ?​​

A.

-7/3 , 4/7

B.

3/7 , -7/4

C.

7/3 , -4/7

D.

-3/7 , 7/4

Correct option is C

Given:

21x237x28=021x^2 - 37x - 28 = 0​​

Solution:

21x237x28=0 21x249x+12x28=0 7x(3x7)+4(3x7)=0 (7x+4)(3x7)=0  x=47,   7321x^2 - 37x - 28 = 0\\ \ \\ 21x^2 - 49x+12x - 28 = 0\\ \ \\ 7x(3x-7)+4(3x-7) = 0 \\ \ \\ (7x+4)(3x-7) = 0 \\ \ \\ \implies x = \frac{-4}{7}, \ \ \ \frac{7}{3}​​

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