Question

${x}^{2} + x - 30$
By middle term splitting
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Answer 1

Answer:

${x}^{2} + 6x - 5 x - 30$

x(x + 6) -5(x + 6)

${x - 5}{x + 6}$

$x = 5 \: \: \: \: \: \: x = - 6$

Answer 2

Question :–

• Find the roots of quadratic equation x² + x - 30 by middle term splitting.

ANSWER :–

GIVEN :–

• A quadratic equation x² + x - 30 = 0.

TO FIND :–

• Roots by middle term splitting = ?

SOLUTION :–

⇒ x² + x - 30 = 0

• We should write this as –

⇒ x² + 6x - 5x - 30 = 0

⇒ x(x + 6) - 5(x + 6) = 0

⇒ (x - 5)(x + 6) = 0

⇒ x - 5 =0 & x + 6 = 0

⇒ x = 5 & x = -6

⇒ x = 5 , -6

• Hence , The roots are 5 & -6.