Question

Solve the following equations by the method of completing square.

(i) 3x² – 5x + 2 = 0

(ii) 5x² – 6x – 2 = 0

(iii) 4x² + 3x + 5 = 0

(iv) 4x² + 4√3x + 3 = 0

(v) 2x² + x – 4 = 0

(vi) 2x² + x + 4 = 0

(vii) 4x² + 4bx – (a² – b²) = 0

Answer 1

(i) Given quadratic equation

For completing square , adding square of half the coefficient of x on both sides,

Hence, solution of given equation are x = 1, 2/3

(ii) Given quadratic equation

(iii) Given quadratic equation

RHS is negative

Roots will not be real

(iv) Given quadratic equation

(v) Given quadratic equation

(vi) Given quadratic equation

Which is an imaginary number.

Hence, roots of given equation are not real

(vii) Given quadratic equation is