Solve the quadratic equation: 4√5x2 + 7x - 3√5 = 0

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asked Feb 9 in Class X Maths by priya12 (-12,152 points)

Solve the quadratic equation:  4√5x2 + 7x - 3√5 = 0

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answered Feb 9 by muskan15 (-3,244 points)

The given equation is

4√5x2 + 7x - 3√5 = 0

⇒ 4√5x2 + 12x – 5x - 3√5 = 0

⇒   4x(√5x + 3) - √5(√5x + 3) = 0

⇒ (√5x + 3)(4x - √5) = 0

⇒   √5x + 3 = 0 or 4x - √5 = 0

⇒ √5x  = - 3 and 4x = √5

⇒ x = - 3/√5 and x = √5/4

So   x = - 3/√5, √5/4

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