Mathematics
Assertion (A): The roots of the quadratic equation 8x^2 + 2x - 3 = 0 are -1/2 and 3/4. Reason (R): The roots of the quadratic equation ax2 + bx + c = 0 are given by . 1. x = (-b ± √b^2 - 4ac) / 2a A is true, R is false 2. A is false, R is true 3. Both A and R are true 4. Both A and R are false
Related Questions
Assertion (A): The quadratic equation 3kx2 - 4kx + 4 = 0 has equal roots, if k = 3.
Reason (R): For equal roots of a quadratic equation, we must have D = 0.
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.
Assertion (A): The roots of the quadratic equation 3x2 + 7x + 8 = 0 are imaginary.
Reason (R): The discriminant of a quadratic equation is always positive.
Both A and R are true, and R is the correct explanation of A.
Both A and R are true, but R is not the correct explanation of A.
A is true, but R is false.
A is false, but R is true.
Determine whether the following quadratic equation has real roots.
5𝑥2 − 9𝑥 + 4 = 0
(a) Give reasons for your answer.
(b) If the equation has real roots, identify them.