Solve for x:     + x = 13.

Solve for x:   √3x² – 2√2x-2√3=0

Solve for x:

Solve for x:

Solve for x:

Solve the following quadratic equation for x:

Solve for x:

Solve the given quadratic equation for x: 9x² – 9(a + b)x + (2a² + 5ab + 2b² ) =0.

Solve for x:

Solve for x (in terms of a and b):

A passenger, while boarding the plane, slipped from the stairs and got hurt. The pilot took the passenger in the emergency clinic at the airport for treatment. Due to this, the plane got delayed by half an hour. To reach the destination 1500 km away in time, so that the passengers could catch the connecting flight, the speed of the plane was increased by 250 km/hour than the usual speed. Find the usual speed of the plane. What value is depicted in this question?

Find x in terms of a, b and c:

Solve for x:

Solve the following quadratic equation for x:  4x² – 4a² x + (a⁴ – b⁴ ) = 0

Solve the following quadratic equation for x: 9x² – 6b² x – (a⁴ – b⁴ ) = 0

Solve the following quadratic equation for x: 4x² + 4bx – (a² – b²) = 0

Solve the following quadratic equation for x: x² – 2ax – (4b² -a²) = 0

Solve for x,   x² -(√3+1)x+√3=0

Solve for x,  √3x² – 2√2x-2√3=0

Solve for x

Solve for x

Solve for x

Solve for x:

Solve for x :

Solve the following quadratic equation for x; 4√3x² + 5x -2√3 = 0

Solve for x:    x² – (√2 + 1) x + √2 = 0.

For what value of k, are the roots of the quadratic equation kx(x – 2) + 6 = 0 equal?

For what value of k, are the roots of the quadratic equation kx(x – 2√5) + 10 = 0, equal?

For what value of k, are the roots of the quadratic equation(k + 4)x² + (k + l)x + 1 = 0, equal?

For what value of k, are the roots of the quadratic equation (k – 12)x² + 2(k – 12)x + 2 = 0 equal ?

For what value of k , are the roots of the quadratic equation y² + k² = 2(k + l)y equal?

For what value of k, are the roots of the quadratic equation (k – 4)x² + (k – 4) x + 4 = 0 equal ?

For what value of k, are the roots of the quadratic equation x² – (3k – l)x + 2k² + 2k -11 = 0 equal?

For what value of m, are the roots of the quadratic equation x² – 2x (1 + 3m) + 7 (3 + 2m) = 0 ?

Solve for x:

Solve for x

Solve for x

Solve for x:

Solve the following quadratic equation in variable x : abx² = (a + b)² (x -1).

Find the value(s) of k so that the quadratic equation 3x² – 2kx + 12 = 0 has equal roots

Solve for x: 4x² – 4ax + (a² – b²) = 0

Solve for x: x²– 4ax – b + 4a²= 0.

Solve for x:  x²– 5√5x + 30 = 0.

Solve for x: x² + √5 x – 60 = 0

Solve for x:   4√3x² + 5x- 2√3 = 0

Find two consecutive natural numbers, the sum of whose squares is 145

For what value of k does the quadratic equation (k – 5)x²+ 2(k – 5)x + 2 = 0 have equal roots?

Find the roots of the following quadratic equation: 3x² + 2 √5x — 5 = 0

Find the roots of the equation:

Solve the following equation for x:

For what value of k, 3 is a zero of the polynomial 2x² + x + k?