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Common Roots

If x2-hx-21=0...

Question

If $x^{2} - h x - 21 = 0, x^{2} - 3 h x + 35 = 0 (h > 0)$ has a common root, then the value of h is equal to

A

1

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B

2

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C

3

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D

4

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Solution

The correct option is D
4

Subtracting, we get 2hx = 56 or hx = 28

Putting in any, $x^{2} = 49$

∴ $[\frac{28}{h}]^{2} = 7^{2}$ ⇒ h = 4(h > 0)

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