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Solve the equation 4x^2 - 5x -33 = -29 to the nearest tenth.

User Patrine
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1 Answer

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Answer:

x = {-0.6, 1.8}

Explanation:

Adding 33 we have ...

4x^2 -5x = 4

Dividing by 4, we get ...

x^2 -5/4x = 1

We can complete the square by adding the square of half the x-coefficient:

x^2 -5/4x +25/64 = 89/64

(x -5/8)^2 = 89/64

x = (5 ±√89)/8 = {-0.5542, 1.8042}

The solution rounded to the nearest tenth is ...

x = {-0.6, 1.8}

Solve the equation 4x^2 - 5x -33 = -29 to the nearest tenth.-example-1
User Sean Woodward
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