Question

11) State whether following statements are true or false a) There are no real roots of the quadratic equation x2 + 4x + 5 = 0 b) The roots of the equation x2 – 16 are 4 and – 4 c) A quadratic equation can have at most 2 real roots d) In a quadratic equation ax2 + bx + c = 0, if a and c are of same sign and b is zero, then the quadratic equation has real roots e) In a quadratic equation ax2 + bx + c = 0, if a and c are of opposite sign, then the will definitely have real roots. f) For k > 0, the quadratic equation are rational, the coefficient of the rem x will also be rational. g) If the roots of the quadratic equation are irrational, the coefficient of the x term will also be irrational h) Every quadratic equation will have rational roots.

Answer 1

Given a quadratic equation ax2 + bx + c = 0, plug the coefficients into the expression b2 - 4ac to see what results:

If you get a positive number, the quadratic will have two unique solutions.

If you get 0, the quadratic will have exactly one solution, a double root.

Answer 2

Answer:

Following statement r false......