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o-na [289]
2 years ago
9

If x+y = 12 and xy = 14, find the value of (x2 + y2).

Mathematics
2 answers:
Strike441 [17]2 years ago
7 0

Answer:

24

Step-by-step explanation:

If x+y=12, x2+y2 must be double this. 12×2=24

11Alexandr11 [23.1K]2 years ago
3 0

Answer:

Substitute x + y = 12 and xy = 14 in the above expansion, we get, Therefore, the value of is equal to 116.I think

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ANSWER

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EXPLANATION

The given rational function is

\frac{5}{ \sqrt{11} -  \sqrt{3}}

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

\sqrt{11}  -  \sqrt{3}

which is

\sqrt{11}   +  \sqrt{3}

When we rationalize we obtain:

\frac{5( \sqrt{11}  +  \sqrt{3} )}{(\sqrt{11}  - \sqrt{3} )( \sqrt{11}  +  \sqrt{3} )}

The denominator is now a difference of two squares:

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We apply this property to get

\frac{5( \sqrt{11}  +  \sqrt{3} )}{( \sqrt{11}) ^{2}    -  ( \sqrt{3}) ^{2}  )}

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\frac{5( \sqrt{11}  +  \sqrt{3} )} {8}

Or

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