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jek_recluse [69]
4 years ago
5

Solve the following quadratic equation using the quadratic formula and then choose the correct solution set. 5x2 + 7x = 6

Mathematics
1 answer:
Morgarella [4.7K]4 years ago
6 0
<span>5x2 + 7x = 6
</span><span>5x2 + 7x -6=0
(x+2)(5x - 3) = 0

x+2 = 0
x = -2

5x-3=0
5x=3
x=3/5

answer </span><span>{-2, 3/5} (second choice)</span>
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Manuela solved the equation 3−2|0.5x 1.5|=2 for one solution. her work is shown below. 3−2|0.5x 1.5|=2 −2|0.5x 1.5|=−1 |0.5x 1.5
irakobra [83]

The other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4

<h3>How to determine the solution?</h3>

The equation is given as:

3 − 2|0.5x + 1.5| = 2

Subtract 3 from both sides

-2|0.5x + 1.5| = -1

Divide both sides by -2

|0.5x + 1.5| = 0.5

Expand the equation

0.5x + 1.5 = 0.5 or 0.5x + 1.5 = -0.5

Subtract 1.5 from both sides

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Divide both sides by 0.5

x = -2 or x = -4

Hence, the other solution to the absolute value equation 3 − 2|0.5x + 1.5| = 2 is x = -4

Read more about absolute value equation at:

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