Solve following equation for x : x 2 − 3 x − 10 = 0 Options: A . &nbsp-2 and -6 B . &nbsp10 and 5 C . &nbsp5 and -2 D . &nbsp7 and 6

Answer: Option C : C By using the method of factorisation, x 2 − 3 x − 10 = 0 ⇒ x 2 − 5 x + 2 x − 10 = 0 ⇒ x ( x − 5 ) + 2 ( x − 5 ) = 0 ⇒ ( x − 5 ) ( x + 2 ) = 0 ⇒ x = 5 and x = − 2

Solve following equation for x: x2−3x−10=0

Question

Solve following equation for

x

x^{2} - 3 x - 10 = 0

Options:

A . -2 and -6

B . 10 and 5

C . 5 and -2

D . 7 and 6

Answer: Option C
:
C
By using the method of factorisation,

x^{2} - 3 x - 10 = 0

\Rightarrow

x^{2} - 5 x + 2 x - 10 = 0

\Rightarrow x (x - 5) + 2 (x - 5) = 0

\Rightarrow

(x - 5) (x + 2) = 0

\Rightarrow x = 5

and

x = - 2

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