Question

the equation 2x plus root x minus 3 equal to 9​

Answer 1

Answer:

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Step-by-step explanation:

Answer:

x=4x=4 and y=9y=9

Step-by-step explanation:

The given equation is:

\frac{2}{\sqrt{x}}+\frac{3}{\sqrt{y}}=2

x

2

+

y

3

=2 and \frac{4}{\sqrt{x}}-\frac{9}{\sqrt{y}}=-1

x

4

−

y

9

=−1 .

Now, multiply first equation by 3 and then add the second equation, we get

⇒6\sqrt{y}+9\sqrt{x}+4\sqrt{y}-9\sqrt{x}=6\sqrt{x}\sqrt{y}-\sqrt{x}\sqrt{y}6

y

+9

x

+4

y

−9

x

=6

x

y

−

x

y

⇒10\sqrt{y}=5\sqrt{x}\sqrt{y}10

y

=5

x

y

⇒\sqrt{x}=2

x

=2

Squaring on both sides, we get

x=4x=4

Now, substituting the value of x=4 in the first equation, we get

2\sqrt{y}+6=4\sqrt{y}2

y

+6=4

y

\sqrt{y}=3

y

=3

Squaring on both sides, we get

y=9y=9

Thus, x=4x=4 and y=9y=9