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# Find the Value of X, If a + 1 = 0 and X2 + Ax – 6 = 0 - ICSE Class 10 - Mathematics

#### Question

Find the value of x, if a + 1 = 0 and x2 + ax – 6 = 0

#### Solution

If a + 7 =0, then a = -7
and b + 10 =0, then b = − 10
Put these values of a and b in the given equation

12x^2 = (−7)x –(−10)
⟹ 12x^2 + 7x – 10 = 0
⟹ 12x^2 + 15x – 8x − 10 = 0
⟹ 3x (4x + 5) – 2(4x + 5) = 0
⟹ (4x + 5) (3x – 2) = 0
If 4x + 5 = 0  Or  3x – 2 =0

Then X=(-5)/4        or  x=2/3`

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Solution Find the Value of X, If a + 1 = 0 and X2 + Ax – 6 = 0 Concept: Quadratic Equations.
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