Question

x^2+4x-60 split the middle term​

Answer 1

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Answer 2

EXPLANATION.

⇒ x² + 4x - 60 = 0.

As we know that,

Factorizes this equation into middle term splits, we get.

⇒ x² + 10x - 6x - 60 = 0.

⇒ x(x + 10) - 6(x + 10) = 0.

⇒ (x - 6)(x + 10) = 0.

⇒ x = 6   and   x = - 10.

                                                                                                                       

MORE INFORMATION.

Nature of the roots of quadratic expression.

(1) Roots are real and unequal, if b² - 4ac > 0.

(2) Roots are rational and different, if b² - 4ac is a perfect square.

(3) Roots are real and equal, if b² - 4ac = 0.

(4) If D < 0 Roots are imaginary and unequal Or complex conjugate.