If x2−hx−21=0 , x2−3hx+35=0 (h>0) ha

Question

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

Options:

A . 1

B . 2

C . 3

D . 4

Answer: Option D
:
D
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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