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Viktor [21]
3 years ago
13

Solve for x. Give your answer in simplest radical form

Mathematics
1 answer:
Tasya [4]3 years ago
3 0
Use the Pythagorean Theorem to find the length of the side marked "x."
x^2 + (10 mi)^2 = (13 mi)^2.  Thus, x^2 + 100 mi^2 = 169 mi^2.
Next, x^2= (169-100) mi^2, or x^2 = 69 mi^2.  Find the positive square root of both sides of this equation.  What is it?
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Answer:

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IgorC [24]

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<h2>         x = -5 - √15    or   x = -5 + √15</h2>

Step-by-step explanation:

y = x^2+10x+10\\\\y=x^2+10x+25-25+10\\\\y=(x+5)^2-15\\\\y=0\quad\iff\quad (x+5)^2-15=0\\\\(x+5)^2=15\\\\x+5=\pm\sqrt{15}\\\\x=-5-\sqrt{15}\quad or\quad x= -5+\sqrt{15}

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