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Question
Find the value of x, if a + 7 = 0; b + 10 = 0 and 12x2 = ax – b.
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.
12x2 = (–7)x – (–10)
⇒ 12x2 + 7x – 10 = 0
⇒ 12x2 + 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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