Question

(x2+2x)(x2+2x-11)+24=0​

Answer 1

Answer:

x = -1, 2, 3, -4

Step-by-step explanation:

Let x² + 2x be a.

So, a(a-11) + 24 = 0

= a² - 11a + 24 = 0

= a² - 8a - 3a + 24 = 0

= a(a - 8) - 3(a - 8) = 0

=》 (a - 3)(a-8) = 0 =》 a - 3 = 0 & a - 8 = 0

= a = 3 & a = 8

If a = 3 then,

x² + 2x = 3

=》 x² + 2x - 3 = 0 =》 x² - 3x + x - 3 = 0

=》 x(x - 3) + 1(x - 3) = 0 =》 (x + 1)(x - 3) = 0

=》 x + 1 = 0 & x - 3 = 0 =》 x = - 1 & x = 3

If a = 8 then,

x² + 2x = 8

=》 x² + 2x - 8 = 0 =》 x² + 4x - 2x - 8 = 0

=》 x(x + 4) - 2(x + 4) = 0 =》 (x-2)(x+4) = 0

=》 x - 2 = 0 & x + 4 = 0 =》 x = 2 & x = - 4

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