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प्रश्न
Solve the following quadratic equation by using formula method: 5m2 + 5m – 1 = 0
उत्तर
Given quadratic equation is 5m2 + 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.
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