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Solve the following quadratic equation by using formula method: 5m^2 + 5m – 1 = 0 - SSC (Marathi Semi-English) 10th - Algebra

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Question

Solve the following quadratic equation by using formula method: 5m2 + 5m – 1 = 0

Solution

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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Solution Solve the following quadratic equation by using formula method: 5m^2 + 5m – 1 = 0 Concept: Nature of Roots.
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