If one root of the equation ax²+abcx+bc = 0 (a≠0) is reciprocal to the other, then (a) abc = 1 (b) b = ac (c) bc = 1 (d) a = bc

If the roots of the equation x² − 22x + 105 = 0 are α and β, then find the value of 1/α + 1/β

Under which condition the quadratic equation ax2 + bx + c = 0 (a ≠ 0) have one zero roots.

Number of solutions of equation x2 = x is (a) 1 (b) 2 (c) 0 (d) 3

State True or False: The two roots of the equation x² = 100 are ±10.

Solve: + = 2, (x ≠ -3, 3)

Find the value of a, if one root of the equation 2x² + ax + 8 = 0 is 1.

Form the quadratic equation whose roots are −4 and 3.

Find out the ratio of the sum and the product of two roots of the equation 7x² − 66x + 27 = 0.

Solve: (2x + 1) + = 4, (x ≠ −1/2)

Speed of A is 1 m/sec more than that of B. A reaches 2 seconds earlier than B in 180m sprint competition. Find the speed of B in m/sec.

If the roots of a quadratic equation ax² + bx + c = 0 (a ≠ 0) are reciprocal and opposite in sign. Find (a + c)