Check whether the following are quadratic equations :(i) (x+1) 2=2(x−3) (ii) x2−2x=(−2)(3−x) (iii) (x−2)(x+1)=(x−1)(x+3) (iv) (x−3)(2x+1)=x(x+5) (v) (2x−1)(x−3)=(x+5)(x−1) (vi) x2+3x+1=(x−2) 2(vii) (x+2) 3=2x(x2−1) (viii) x3−4x2−x+1=(x−2) 3
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Which of the following is a quadratic equation ?
Test, whether the following equation is quadratic equation.x(x+1)+8=(x+2)(x−2)
The quadratic equation p(x)=0 with real coefficients has purely imaginary roots. Then the equation p(p(x))=0 has A. only purely imaginary roots B. all real roots C. two real and purely imaginary roots D. neither real nor purely imaginary roots
Solve the following quadratic equation for x˙x2−4ax−b2+4a2=0
Convert to quadratic equation
Let p,qbe integers and let α,βbe the roots of the equation, x2−x−1=0,where α=β. For n=0,1,2,,letan=pαn+qβn˙FACT : If aandbare rational number and a+b5=0,thena=0=b˙If a4=28,thenp+2q=7 (b) 21 (c) 14 (d) 12
Is the following equation a quadratic equation in x?(2x+3)(3x+2)=6(x−1)(x−2)