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Find the value of p for which one root of the quadratic equation px2-14x+8=0 is 6 times the other.Chapter: Linear equation in two Variables Class : 10th |
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Answer» Step-by-step EXPLANATION: Correct option is A 3 ⇒ The given quadratic equation is px 2 −14x+8=0 ⇒ Let the ROOT be α then other root will be 6α ⇒ SUM of the roots = a −b
⇒ α+6α= p −(−14)
⇒ 7α= p 14
∴ α= p 2
-------- ( 1 ) ⇒ Product of the roots = a c
⇒ α.6α= p 8
⇒ 6α 2 = p 8
⇒ 6( p 2
) 2 = p 8
[ From ( 1 ) ] ⇒ 6× p 2
2
= p 8
∴ p=3 |
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