2x^(2)-4x+3=0

The number of roots of the equation sqrt(x-2)(x^(2)-4x+3)=0 is (A) Three (B) Four (C) One (D) Two

Solve the quadratic equation 2 x^(2)-4 x+3=0 by using the general expression for the roots of a quadratic equation.

Find the nature of the roots of the quadratic equation 2x^(2) -4 x + 3 = 0

Assertion (A ) : the equation whose roos are multipled of by 2 of those of x^5 - 2x^4 +3x^3 -2x^2 +4x +3=0 is x^5 - 4x^4 +12 x^3 -16 x^2 +64 x+96=0 Reason (R ) : the equation whose roots are muliplied by k of those of f(x ) =0 is f((x )/(k ))=0

Assertion (A ) : the equation whose roos are multipled of by 2 of those of x^5 - 2x^4 +3x^3 -2x^2 +4x +3=0 is x^5 - 4x^4 +12 x^3 -16 x^2 +64 x+96=0 Reason (R ) : the equation whose roots are muliplied by k of those of f(x ) =0 is f((x )/(k ))=0

Shift the origin to a suitable point so that the equation 2x^(2)-4x+3y+5=0 will not contain the term in x and the constant term.

If the equation x^(2)+9y^(2)-4x+3=0 is satisfied for all real values of x and y, then

Write the discriminant of the following quadratic equations: x^(2)-4x+2=0 (ii) 3x^(2)+2x-1=0 (iii) x^(2)-4x+a=0

If x^(2)+9y^(2)-4x+3=0 , x,y in RR , then x and y respectively lie in the intervals