Quadratic Equation Questions

• Which of the following equations is a quadratic?
• Which of the following equations has real roots?
• Find the roots of the equation 2x 2 - 9x - 18 = 0.
• If one root of x 2 - 6kx + 5 = 0 is 5, find the value of k.
• Find the roots of the equation 2x 2 - 11x + 15 = 0
• If [a + (1/a)] 2 = 3 , what is the value of a 3 + (1/a) 3?
• If 2x 2 - 7xy + 3y 2 = 0, then the value of x : y is
• If one roots of the equation x 2/a = x/b + 1/c = 0 is reciprocal of the other, then which one of the following is correct?
• One root of the quadratic equation x2 - 5 x + 6 = 0 is 3. Find the other root.
• Construct a quadratic equation whose roots have the sum = 6 and product = −16.
• Ⅰ. 4x + 7y = 209 Ⅱ. 12x − 14y = − 38
• Ⅰ. 18x 2 + 18x + 4 = 0 Ⅱ. 12y 2 + 29y + l4 = 0
• Ⅰ. 8x 2 + 6x = 5 Ⅱ. 12y 2 − 22y + 8 = 0
• Ⅰ. 16x 2 + 20x + 6 = 0 Ⅱ.10y 2 + 38y + 24 = 0
• Ⅰ. 17x 2 + 48x = 9 Ⅱ.13y 2 = 32y –12
• The roots of the equation a2x2 - 3abx + 2b2 = 0 are
• If α and β are the roots of the quadratic equation ax 2 + bx + c = 0, the value of α3 + β3 is
• For what value of k the quadratic polynomial 3z2 + 5z + k can be factored into product of real linear factors?
• The roots of the equation x2 + px + q = 0 are equal if :
• Find 2 consecutive positive odd integers whose squares have the sum 290.