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4 years ago

2x+11=21 solve for the indicated variable

Mathematics

1 answer:

Drupady [299]4 years ago

3 0

Here is the equation:

$2x+11=21$

Leave the variable alone by subtracting 2 from both sides:

$2x+11 = 21 \\ 2x - 11 = 21-11$

The new equation becomes:

$2x=10$

Leave the variable alone(again) by dividing both sides by 2:

$2x \div 2 = 10 \div 2$

Simplify and it becomes:

$x = 5$

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3 years ago

What is the solution of StartRoot x squared + 49 EndRoot = x + 5?

Natasha2012 [34]

$x=\frac{12}{5}$ or x= twelve-fifths

Option A is correct.

Step-by-step explanation:

We need to find the solution of:

$\sqrt{x^2+49}=x+5$

Solving:

Taking square on both sides:

$(\sqrt{x^2+49})^2=(x+5)^2\\x^2+49=x^2+2(x)(5)+25\\Simplifying:\\x^2+49-x^2-10x-25=0\\-10x+24=0\\-10x=-24\\x=\frac{-24}{-10}\\ x=\frac{24}{10}\\x=\frac{12}{5}$

Verifying the solution by putting x = 12/5 in the given equation, we get true result.

So, $x=\frac{12}{5}$ or x= twelve-fifths

Option A is correct.

Keywords: Solving Square root Equations

Learn more about Solving Square root Equations at:

#learnwithBrainly

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