# How do I use the quadratic formula to solve #x^2 + 7x = 3#?

All that's needed to solve the quadratic formula is knowing what to plug in where.

Here is the standardised equation for a quadratic that you can solve with the quadratic formula, but before we do, let's review the components of our equation. You'll see why this is crucial in a moment.

After finishing that, let's examine the quadratic formula itself:

You now see why it was necessary for us to see the equation in its standardised form; otherwise, we wouldn't have any idea what was meant by a, b, or c. Therefore, we can now see that they are just our coefficients and constant, which means that in our case:

It's not too bad from here on out. All we have to do is enter the values:

As for our answers, they are -7.4 and 0.4. Be sure to solve for both the plus and the minus.

Finally, always check your solutions by plugging them back into your original equation; this will help you eliminate any unnecessary solutions you may have obtained and will also help you determine whether you solved the problem correctly.

Here, only the second response (0.4) is effective.

This is also explained in this video.

I hope that's helpful.

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To use the quadratic formula to solve ( x^2 + 7x = 3 ), follow these steps:

- Identify the coefficients: ( a = 1 ), ( b = 7 ), and ( c = -3 ).
- Substitute the coefficients into the quadratic formula: ( x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} ).
- Plug in the values: ( x = \frac{{-7 \pm \sqrt{{7^2 - 4(1)(-3)}}}}{{2(1)}} ).
- Simplify inside the square root: ( x = \frac{{-7 \pm \sqrt{{49 + 12}}}}{2} = \frac{{-7 \pm \sqrt{{61}}}}{2} ).
- The solutions are ( x = \frac{{-7 + \sqrt{61}}}{2} ) and ( x = \frac{{-7 - \sqrt{61}}}{2} ).

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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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