Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 47

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$74$ when divided by $(2 x - 5)$ gives the quotient as $(3 x + 6)$ and the remainder as $5 x$ . Find the value of $x :$

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Important Questions on Algebraic Expressions

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Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 48

If the sum as well as the product of the roots of the equation

{px}^{2} - 6 x + q = 0

is

6

, then what is

(p + q)

equal to?

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Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 49

If

α

and

β

are the roots of the equation

x^{2} - 6 x + 6 = 0

, what is

α^{3} + β^{3} + α^{2} + β^{2} + α + β

equal to?

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Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 50

What is the value of

𝑢

in the system of equations

3 (2 𝑢 + 𝑣) = 7 𝑣 𝑢, 3 (𝑢 + 3 𝑣) = 11 𝑢 𝑣 ?

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Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 1

What is the value of

\frac{{(443 + 547)}^{2} + {(443 - 547)}^{2}}{443 \times 443 + 547 \times 547}

?

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Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 2

If

x = 2 + 2^{\frac{2}{3}} + 2^{\frac{1}{3}}

, then what is the value of

x^{3} - 6 x^{2} + 6 x

?

EASY

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Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 3

If

\sqrt{\frac{x}{y}} = \frac{24}{5} + \sqrt{\frac{y}{x}}

and

x + y = 26

, then what is the value of

x y ?

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Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 4

If

a^{3} = 355 + b^{3} and a = 5 + b

, then what is the value of

a + b

(given that

a > 0 and b > 0

)?

EASY

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IMPORTANT

Mathematics Express>Chapter 1 - Algebraic Expressions>Exercise 1>Q 5

The pair of linear equation

k x + 3 y + 1 = 0 and 2 x + y + 3

intersect each other, if