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

If the sum of the roots of the equation ax² + bx + ac = 0 ( a ≠ 0) is zero, then find b.

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

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

Solve: + = 2, (x ≠ -3, 3)

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

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.

If the price of 1 dozen pens is reduced by ₹ 6, then 3 more pens will be got for ₹ 30. Calculate the price of 1 dozen pens before the reduction of price.

Solve: - + 6 = 0

If the sum of the roots of the equation x² - x = k(2x - 1) is 2, then find the value of K.