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3 years ago

Solve the equation for x^2= 625

Mathematics

1 answer:

docker41 [41]3 years ago

8 0

Answer:

x = ±25

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Algebra I

Multiple Roots

Step-by-step explanation:

Step 1: Define

x² = 625

Step 2: Solve for x

Square root both sides: x = ±25

Step 3: Check

Plug in x into the original equation to verify it's a solution.

x = -25

Substitute in x: (-25)² = 625
Exponents: 625 = 625

Here we see that 625 does indeed equal 625.

∴ x = -25 is a solution to the equation.

x = 25

Substitute in x: 25² = 625
Exponents: 625 = 625

Here we see that 625 does indeed equal 625.

∴ x = 25 is a solution to the equation.

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Answer:

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Step-by-step explanation:

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This is where n is the exponent in

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Now we want to expand:

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Let's replace $x$ with $(9a)$ and $y$ with $(-10b)$ in the expansion:

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$=1(9a)^6+6(9a)^5(-10b)+15(9a)^4(-10b)^2+20(9a)^3(-10b)^3+15(9a)^2(-10b)^4+6(9a)(-10b)^5+1(-10b)^6$

Let's simplify a bit:

$=9^6a^6-60(9)^5a^5b+15(-10)^2(9)^4a^4b^2+20(9)^3(-10)^3a^3b^3+15(9)^2(-10)^4a^2b^4+6(9)(-10)^5ab^5+(-10)^6b^6$

$=531441a^6-3542940a^5b+9841500a^4b^2-14580000a^3b^3+12150000a^2b^4-5400000ab^5+1000000b^6$

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