# How do you solve #2.3x^2-1.4x=6.8# using the quadratic formula?

See a solution process below:

The quadratic equation can now be used to solve this problem:

According to the quadratic formula,

Replacing:

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To solve the equation 2.3x^2 - 1.4x = 6.8 using the quadratic formula:

a = 2.3 b = -1.4 c = -6.8

The quadratic formula is:

[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}]

Substitute the values of a, b, and c into the formula:

[x = \frac{{-(-1.4) \pm \sqrt{{(-1.4)^2 - 4(2.3)(-6.8)}}}}{{2(2.3)}}]

[x = \frac{{1.4 \pm \sqrt{{1.96 + 62.24}}}}{{4.6}}]

[x = \frac{{1.4 \pm \sqrt{{64.2}}}}{{4.6}}]

[x = \frac{{1.4 \pm 8.01}}{{4.6}}]

[x_1 = \frac{{1.4 + 8.01}}{{4.6}} = \frac{{9.41}}{{4.6}} \approx 2.048]

[x_2 = \frac{{1.4 - 8.01}}{{4.6}} = \frac{{-6.61}}{{4.6}} \approx -1.437]

So, the solutions to the equation are approximately (x_1 = 2.048) and (x_2 = -1.437).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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