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Algebra
practice.

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Q481

Open question

If 3x + 4y - 2z + 9 = 17, 7x + 2y + 11z + 8 = 23 and 5x + 9y + 6z - 4 = 18, then what is the value of x + y + z - 34?

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Q482

Open question

Given that x⁸ - 34x⁴ + 1 = 0, x > 0, what is the value of (x³ + x^-3)?

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Q483

Open question

x^{4} + \frac{1}{x ^{4}} = \frac{257}{16},

then find

\frac{8}{13} (x^{3} + \frac{1}{x ^{3}}),

where x > 0.

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Q484

Open question

x + \frac{1}{x} = 3,

x ≠ 0 then the value of

x^{7} + \frac{1}{x ^{7}}

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Q485

Open question

If a² + b² + c² = 6.25 and (ab + bc + ca) = 0.52, what is the value of (a + b + c), if (a + b + c) < 0?

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Q486

Open question

If (x + y)³ - (x - y)³ - 3y(2x² - 3y²) = ky³, then find the value of k.

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Q487

Open question

x^{2} + \frac{1}{x ^{2}} = 38,

then what is the value of

(x - \frac{1}{x}) ?

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Q488

Open question

If 5√5x³ + 2√2y³ = (Ax + √2y)(Bx² + 2y² + Cxy), then the value of (A² + B² - C²) is:

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Q489

Open question

If A = 1 + 2^P and B = 1 + 2^-P, then what is the value of B?

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Q490

Open question

x + \frac{1}{x} = 8,

then find the value of

\frac{5 x}{x ^{2} + 1 - 6 x} .

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Q491

Open question

If x + y + z = 0, then the value of (x² + y² + z²) ÷ (z² - xy) is:

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Q492

Open question

The value of

\frac{0.325 \times 0.325 + 0.175 \times 0.175 + 25 \times 0.00455}{5 \times 0.0065 \times 3.25 - 7 \times 0.175 \times 0.025} - \frac{0.5}{1.5} is:

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Q493

Open question

x + \frac{1}{x} = 22,

then

x^{2} + \frac{1}{x ^{2}}

is equal to:

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Q494

Open question

If x⁴ - 83x² + 1 = 0, then a value of x³ - x^-3 can be:

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Q495

Open question

If 1 + 9r² + 81r⁴ = 256 and 1 + 3r + 9r² = 32, then find the value of 1 - 3r + 9r².

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Q496

Open question

x^{2} + \frac{1}{x ^{2}} = \frac{7}{4}

for x > 0 then what is the value of

x^{3} + \frac{1}{x ^{3}} = ?

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Q497

Open question

y^{4} + \frac{1}{y ^{4}} = 223

and y > 1, then find the value of

y^{2} + \frac{1}{y ^{2}} ?

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Q498

Open question

If x - y + z = 0, then find the value of

\frac{y ^{2}}{2 x z} - \frac{x ^{2}}{2 y z} - \frac{z ^{2}}{2 x y} ?

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Q499

Open question

If x² - 5x + 1 = 0, then the value of

(x^{4} + \frac{1}{x ^{2}}) \div (x^{2} + 1)

is:

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Q500

Open question

If a + b + c = 6, a³ + b³ + c³ - 3abc = 342, then what is the value of ab + bc + ca?

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Algebrapractice.

Algebra
practice.