Question

5x^2-4x=1 solve by factorization​

Answer 1

this is your answer hope it helps

Answer 2

ANSWER:

To Solve:

• 5x² - 4x = 1

Solution:

We are given that,

⇒ 5x² - 4x = 1

So,

⇒ 5x² - 4x - 1 = 0

Now, we need to split the middle term in such a way that the sum of the terms obtained is -4x and the product is -5x².

So, the terms are: -5x and +x.

Sum: (-5x) + x = -4x

Product: (-5x)(x) = 5x²

So,

⇒ 5x² - 4x - 1 = 0

⇒ 5x² - 5x + x - 1 = 0

Taking common,

⇒ 5x(x - 1) + 1(x - 1) = 0

Taking (x - 1) common,

⇒ (x - 1)(5x + 1) = 0

Hence,

⇒ x = 1 and x = -1/5

Therefore, the value of x is 1 and -1/5.

Verification:

We are given that,

⇒ 5x² - 4x = 1

So, substituting x for 1,

⇒ 5(1)² - 4(1) = 1

⇒ 5 - 4 = 1

⇒ 1 = 1

LHS = RHS ------(1)

Now, substituting x for -1/5,

⇒ 5(-1/5)² - 4(-1/5) = 1

⇒ 1/5 + 4/5 = 1

⇒ 5/5 = 1

⇒ 1 = 1

LHS = RHS ------(2)

So, from (1) & (2),

HENCE VERIFIED!!