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Q.

Find the roots of following quadratic equation x2+3x-2=0.


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a

x=-3±152

b

x=-3±172

c

x=-3±192

d

x=-3±212  

answer is B.

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Detailed Solution

It is given that, x2+3x-2=0.
Here we use the quadratic formula to solve the question i.e. -b±b2-4ac2a.
Comparing the values of the given equation with standard quadratic equation, ax2+bx+ c we get the values of a, b, c as a=1,b=3,c=-2.
Putting the values in the quadratic formula,
 x=-b±b2-4ac2a  x=-3±9-4(1)(-2)2×1  x=-3±172   The roots of the given equation are -3±172 .
Hence, the correct option is 2.
 
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Find the roots of following quadratic equation x2+3x-2=0.