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never [62]
3 years ago
6

Write the quadratic equation in standard form: X2– 20 = 52

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

{x}^{2}  - 72 = 0

Step-by-step explanation:

the \: standard \: form \: a \: quadratic \: equation \:\\ is \:a {x}^{2} + bx + c = 0  \\   \therefore \: {x}^{2}  - 20 = 52 \\  {x}^{2}  - 20 - 52 = 0 \\  {x}^{2}  - 72 = 0

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A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take
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Answer:

1/30 of a ton

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Write this as an expression:

1/3 of a ton and 1/2 of a ton were taken to the site.

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Amount of a ton at the site  =   \frac{1}{3}+ \frac{1}{2}- \frac{4}{5}

Solve the equation by finding <u>common denominators</u> (when the bottom numbers are the same).

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For <u>1/3 to become ?/6</u>, multiply top and bottom by 2.

For <u>1/2 to become ?/6</u>, multiply top and bottom by 3.

(\frac{2}{6}+ \frac{3}{6})- \frac{4}{5}

Now we can add the numerators together over the same denominator.

\frac{5}{6}- \frac{4}{5}

Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".

For <u>5/6 to become ?/30</u>, multiply top and bottom by 5.

For <u>4/5 to become ?/30</u>, multiply top and bottom by 6.

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Subtract the numerators:

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