Question 1(iv) Check whether the following are quadratic equations: (iv)(x−3)(2x+1)=x(x+5)
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Solution
(iv)(x−3)(2x+1)=x(x+5)⇒2x2−5x−3=x2+5x⇒x2−10x−3=0 It is of the form ax2+bx+c=0,where a=1,b=−10,c=−3 in this case. Hence, the given equation is quadratic equation.