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If one root of the equation x square +7x+k=0 is -2,then find the value of k and the other root

Posted by Ameera - 7 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sonali Aggarwal 7 years, 5 months ago

Given equation,

x^2 + 7x + k = 0 , given root -2

Substituting value of x = -2 in the equation

4 - 14 + k = 0

k = 10

Now the equation is x^2 +7 x + 10 = 0

Or x^2 + 2x + 5x + 10

= x(x + 2) + 5( x + 2)

= (x + 5)(x + 2)

x= -5, -2

,so, other value of x is -5

0Thank You

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CBSE > Class 10 > Mathematics