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## Q- (2x+1)²+(x+1)²=6x+47

Chapter: Quadratic Equation in one variable

## Q- (x-7)(x-9)=195

Chapter: Quadratic Equation in one variable

## Q- 3x-(24/x)=x/3, x≠0

Chapter: Quadratic Equation in one variable

## Q- 3y²-20=160-2y²

Chapter: Quadratic Equation in one variable

## Q- Volume of sphere varies directly with cube of length of its radius and surface area of sphere varies directly with the square of the length of radius. Let us prove that the square of volume of sphere varies directly with cube of its surface area.

Chapter: Quadratic Equation in one variable

## Q- If one root of the equation ax²+bx+c=0 if twice of the other, then let us show that, 2b²=9ac.

Chapter: Quadratic Equation in one variable

## Q- Let us form the equation whose roots are reciprocals to the roots of the equation x²+px+1=0

Chapter: Quadratic Equation in one variable

## Q- Let us determine the equation whose roots are square of the roots of the equation x²+x+1=0.

Chapter: Quadratic Equation in one variable

## Q- Let us prove that, the quadratic equation 2(a²+b²) x²+2(a+b)x+1=0 has no real root, if a≠b.

Chapter: Quadratic Equation in one variable

## Q- If two roots of the quadratic equation (a²+b²) x²-2(ac+bd) x+(c²+d²) =0 are equal, then let us prove that, a/b=c/d

Chapter: Quadratic Equation in one variable