1.

Find the roots of the equation 5x2 – 3x – 2 = 0.

Answer»

Given equation is 5x– 3x – 2 = 0.

⇒ 5x– 3x – 2 = 0.

⇒ 5x2 – 5x + 2x – 2 = 0

⇒ 5x(x – 1) + 2(x – 1) = 0

⇒ (5x + 2)(x – 1) = 0

Now, either 5x + 2 = 0 ⇒x = \(\frac{-2}{5}\)

Or, x -1= 0 ⇒x = 1

Thus, the roots of the given quadratic equation are 1 and x = \(\frac{-2}{5}\) respectively.



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