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X=3, x^2-2kx-6=0 find the value of …

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X=3, x^2-2kx-6=0 find the value of k

Posted by Sowmya Sundararajan 6 years, 9 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 6 years, 9 months ago

Given it's one root of the equation x² - 2kx - 6 = 0

one of its root x = 3
for finding the value of k put the value of x in this equation.

(3)² - 2k(3) - 6 = 0

9 - 6k - 6 = 0

6k = 3

k = 3/6

k = 1/2

hence,the value of k = 1/2

x² - 2(1/2)x - 6 = 0

x² - x - 6 = 0

x² - 3x + 2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = 3 , x = -2

1Thank You

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Posted by Kanika . 1 month, 2 weeks ago

CBSE > Class 10 > Mathematics