Solve the following quadratic equation by using formula method: 5m^{2} + 5m – 1 = 0

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#### Solution

Given quadratic equation is 5m^{2} + 5m – 1 = 0

Comparing with general form ax2 + bx + c = 0, we have

a = 5, b = 5 and c = –1

∴`X=(-b+-sqrt(b^2-4ac))/(2a`

`=(-5+-sqrt(5^2-4(5)(-1)))/(2*5)`

`=(-5+-sqrt(25+20))/10`

`=(-5+-sqrt45)/10`

`=(-5+-3sqrt5)/10`

∴`(-5+3sqrt5)/10`and `(-5-3sqrt5)/10`are the roots of the given equation.

Concept: Nature of Roots

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