Find the roots of quadratic equation -x²+7x-10=0 by applying quadratic formula
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The roots of the given quadratic equation are -2 and -5.
Step-by-step explanation:
Here we have been given a quadratic equation and we are asked to find its roots.
For doing so we will simplify the given quadratic equation as shown below:
⇒x²+7x+10=0
So we will break 7x into 5x+2x by using mid term factorization as follows:
⇒x²+5x+2x+10=0
⇒x(x+5)+2(x+5)=0
⇒(x+2)(x+5)=0
Hence the roots of the given quadratic equation is -2 and -5.
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