Question

(1) 25.x2 + 4y2=100
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Answer 1

The answer is 5x + 2y = 10

GIVEN:-

$25 {x}^{2} + 4 {y}^{2} = 100$

TO FIND:- Simplified

SOLUTION:-

• 5 is a square root of 25, which means 5² = 25
• 2 is a square root of 4, which means 2² = 4
• 10 is a square root of 100, which means 10² = 100

According to the question,

By breaking coefficients into their roots

$25 {x}^{2} + 4 {y}^{2} = 100 \\ = {(5x)}^{2} + {(2y)}^{2} = {10}^{2}$

By square rooting both sides

$\sqrt{ ({5x})^{2} + {(2y)}^{2} } = \sqrt{ {10}^{2} } \\ 5x + 2y = 10$

Hence, the answer is 5x + 2y = 10

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Answer 2

Answer: The final answer is 5x+2y=10

Step-by-step explanation:

Simplify Algebraic Expressions in Mathematics is a collection of various numerical expressions that have been debunked by several philosophers and historians. Speaking of algebra, this branch of mathematics deals with the oldest concepts of mathematical sciences, geometry, and number theory.

It is one of the oldest branches in the history of mathematics. The study of mathematical symbols and rules sometimes involves the manipulation of these mathematical symbols as defined by algebra.

Algebraic equations are found in many math chapters that students will learn in school. In addition, algebra has several formulas and identities.

Given: $25x^2 + 4y^2=100$

FIND:- Simplified

SOLUTION:-

• 5 is the square root of 25, which means $5^2$ = 25
• 2 is the square root of 4, which means $2^2$ = 4
• 10 is the square root of 100, which means $10^2$ = 100

According to the query

By breaking the coefficients into their roots

$25x^2 + 4y^2=100$

$(5x)^2+(2y)^2=(10)^2$

By squaring roots on both the sides:

$\sqrt[]{(5x)^2+(2y)^2=(10)^2}$

On solving we get

$5x+2y=10$

Hence the final answer is 5x+2y=10

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