Question

If α,β are the zeroes of the polynomial
2x2-7x +k satisfying the condition
α2+β2+αβ= 67/4, then find the value of k
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Dont Spam # Quality Answer Need...
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No Need Copied Answer
Spammer will be report​

Answer 1

If α,β are the zeroes of the polynomial

If α,β are the zeroes of the polynomial2x2-7x +k satisfying the condition

If α,β are the zeroes of the polynomial2x2-7x +k satisfying the conditionα2+β2+αβ= 67/4, then find the value of k

If α,β are the zeroes of the polynomial2x2-7x +k satisfying the conditionα2+β2+αβ= 67/4, then find the value of k────────────────

If α,β are the zeroes of the polynomial2x2-7x +k satisfying the conditionα2+β2+αβ= 67/4, then find the value of k────────────────Dont Spam # Quality Answer Need...

If α,β are the zeroes of the polynomial2x2-7x +k satisfying the conditionα2+β2+αβ= 67/4, then find the value of k────────────────Dont Spam # Quality Answer Need...─────────────

If α,β are the zeroes of the polynomial2x2-7x +k satisfying the conditionα2+β2+αβ= 67/4, then find the value of k────────────────Dont Spam # Quality Answer Need...─────────────No Need Copied Answer

If α,β are the zeroes of the polynomial2x2-7x +k satisfying the conditionα2+β2+αβ= 67/4, then find the value of k────────────────Dont Spam # Quality Answer Need...─────────────No Need Copied AnswerSpammer will be report

Answer 2

Answer:-9=k

Step-by-step explanation:  if A and B are roots of 2x^2 - 7x + k, then on comparing with ax² + b x + c, a = 2, b = - 7, c = k

Sum of roots = A + B = - b/a = 7/2

Product of roots = AB = c/a = k/2

A² + B² + AB = 67/4

=> A² + B² + 2AB - AB = 67/4

=> (A + B)² - AB = 67/4

=> (7/2)² - k/2 = 67/4

=> 49/4 - k/2 = 67/4

=> - 18/4 = k/2

=> - 9 = k