Question

Factorise by splitting middle term six X square plus root 5 x -10

Answer 1

ANSWER:

To Factorize:

• x² + √5x - 10

Solution:

We are given that,

⇒ x² + √5x - 10

Now we need to split the middle term in such a way that the split numbers' product equals -10x² and their sum equals √5x.

So, the factors are

⇒2√5x and -√5x

Product = (2√5x)(-√5x) = -10x²

Sum = 2√5x - √5x = √5x

Hence,

⇒ x² + √5x - 10

⇒ x² + 2√5x - √5x - 10

Taking x common in first two terms and (-√5) common in the last two.

⇒ x(x + 2√5) - √5(x + 2√5)

Taking (x + 2√5) common,

⇒ (x + 2√5)(x - √5)

Therefore, on factorizing x² + √5x - 10 we will get (x + 2√5)(x - √5).