Question

Factorise using identities - x^2 - 6x - 7

Answer 1

EXPLANATION.

Factorizes : x² - 6x - 7.

As we know that,

Factorizes the equation into middle term splits, we get.

⇒ x² - 7x + x - 7 = 0.

⇒ x(x - 7) + 1(x - 7) = 0.

⇒ (x + 1)(x - 7) = 0.

⇒ x = - 1  and  x = 7.

                                                                                                                 

MORE INFORMATION.

Conjugate roots.

(1) = If D < 0.

One roots = α + iβ.

Other roots = α - iβ.

(2) = If D > 0.

One roots = α + √β.

Other roots = α - √β.

Answer 2

Answer:

x = 1/-7

Step-by-step explanation:

= x^2-6x-7

= x^2+7x-1x-7

= x(x+7) - 1(x+7)

= (x-1) (x+7)

x-1 = 0             x+7=0

x = 1                 x=-7

i you want further answer  x cannot be negative integer so x =1 is the correct answer

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