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Question

With the help of the flow chart given below solve the equation x2+23x+3=0 using the formula.

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Solution

Compare equationsx2+23x+3=0 andax2+bx+c=0 find the values of a,b,c. Find value ofb2-4acWrite formulato solvequadraticequation.Substitute values ofa,b,c and find roots

comparing x2+23x+3=0 with ax2+bx+c=0 we get
a=1,b=23 and c=3
b2-4ac=232-4×1×3=12-12=0
Formula to solve a quadratic equation will be
x=-b±b2-4ac2ax=-23±02×1=-232=-3
Thus, x=-3,-3.

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