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Concept of Inequality

If 3-13+1=x+y...

Question

If $\frac{\sqrt{3} - 1}{\sqrt{3} + 1} = x + y \sqrt{3},$ find the values of x and y.

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Solution

It is given that;

.we need to find x and y

We know that rationalization factor for is . We will multiply numerator and denominator of the given expression by, to get

On equating rational and irrational terms, we get

Hence, we get.

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Similar questions

x + y = 3

x y = - 18

, then find the value of

x^{3} + y^{3}

.

Q. If x + y = 5;

x^{2} + y^{2} = 13

then the value of

x^{3} + y^{3}

Q. If x + y = 2 and

\frac{1}{x} + \frac{1}{y} = 2

then the value of

x^{3} + y^{3}

\frac{5 - \sqrt{3}}{2 + \sqrt{3}} = x + y \sqrt{3}

, then

(a) x = 13, y = −7

(b) x = −13, y = 7

(c) x = −13, y = −7

(d) x = 13, y = 7

Q. If x=3, y=2 and z=-1 then the value of

(\frac{x^{3} + y^{3} + 1}{y^{3} - z^{3}})

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