br? - 2Vacx + b = 0 have equal roots.
10. Write the set of values of k for which the quadratic equation has 2x + kx - 8 = 0
real roots.
mundratic polynomial, sum of whose zeros is 273 and their productis
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Answer:
If the given equation has real roots, a = 2 , b = k and c = 8. D = 0 b2 - 4ac = 0 k2 - 4 * 2 *8 = 0 k2 = 64 k = ± √64 ∴k = ± 8.
Step-by-step explanation:
Assuming given quadratic equation 2x2 + kx +8 = 0 has real and equal roots If the quadratic equation is of the form ax2 + bx + c has equal roots then its discriminant is equal to zero. ⇒ Discriminant = b2 – 4ac = 0 ⇒ k2 - 4 × 2 × 8 = 0 ⇒ k2 - 64 = 0 ⇒ k2 = 64 ⇒ k = √64 ∴ k = ± 8.
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