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REY [17]
2 years ago
9

X over 4 space equals space 6 over 8 ; x=

Mathematics
1 answer:
MrRa [10]2 years ago
4 0

Answer: x=3

Step-by-step explanation: This is a porportion, meaning that the numbers are set equal to each other. Look at your denominators, 4 and 8? What do they have in common? In this case, they have a factor of 2 in common, and 8 is 4x2. So then we look at the numerators now. What times 2 equals to 6? Your answer then becomes 3.

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<img src="https://tex.z-dn.net/?f=15%20x%5E%7B2%7D%20%2B14x-49%3D0" id="TexFormula1" title="15 x^{2} +14x-49=0" alt="15 x^{2} +1
Alex777 [14]
15x^2+14x-49=0\\\\&#10;Terms:\\&#10;a=15\ \ \ \ b=14\ \ \ \ c=-49\\&#10;Quadratic\ Formula:\\\\&#10;x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\&#10;x=\dfrac{-14\pm\sqrt{196+2,940}}{30}\\\\&#10;x=\dfrac{-14\pm\sqrt{3,136}}{30}\\\\&#10;x=\dfrac{-14\pm56}{30}

Roots:\\\\&#10;x'=\dfrac{-14+56}{30}\\\\&#10;x'=\dfrac{42}{30}\\\\&#10;x'=\dfrac{21}{15}\\\\&#10;\boxed{x'=\dfrac{7}{5}}\\\\\\\\&#10;x''=\dfrac{-14-56}{30}\\\\&#10;x''=\dfrac{-70}{30}\\\\&#10;\boxed{x''=\dfrac{-7}{3}}
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