Math, asked by gurvinder17, 9 months ago

solve by factorization method 6(2x+1)²=(2x+1)+5​

Answers

Answered by BrainlyPopularman
6

ANSWER :

x = 0 or x = -(11/12)

EXPLANATION :

GIVEN :

▪︎A quadratic equation – 6(2x+1)² = (2x+1) + 5

TO FIND :

Value of 'x'.

SOLUTION :

Let's put (2x + 1) = t

=> 6t² = t + 5

=> 6t² - t - 5 = 0

=> 6t² - 6t + 5t - 5 = 0

=> 6t(t - 1) + 5(t - 1) = 0

=> (6t + 5)(t - 1) = 0

=> t = -⅚ , t = 1

▪︎ Now put the value of 't'

When t = -⅚

=> (2x + 1) = - ⅚

=> 12x + 6 = -5

=> 12x = -11

=> x = -(11/12)

When t = 1

=> 2x + 1 = 1

=> x = 0

Hence , x = 0 or x = -(11/12)

VERIFICATION :

At x = 0

=> 6(2×0 + 1)² = (2×0 + 1) + 5

=> 6(1)² = 1 + 5

=> 6 = 6 (verified)

At x = -(11/12)

=> 6[2×(-11/12) + 1]² = [2×(-11/12) + 1] + 5

=> 6[1 - (11/6)]² = [1 - (11/6)] + 5

=> 6(-⅚)² = -⅚ + 5

=> (25/6) = (25/6) (verified)

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