How do you solve #4x^2 +4x = 15# using the quadratic formula?
Thus, we have
Thus, when we compare the equation to the general form, we obtain
Let's locate the discriminant now.
Now apply Sridhar Acharya's Rule, also known as the quadratic formula (or whatever name it may be in your country).
I hope this is useful.
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Set the expression's value to 0.
Here is the quadratic formula:
In this instance, we replace:
Thus, the quadratic formula is as follows:
We can factorize this problem as well (you have to guess here).
Next, to obtain the same answers, set both parenthesis to zero:
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To solve the quadratic equation 4x^2 + 4x = 15 using the quadratic formula, where ax^2 + bx + c = 0:
-
Identify the coefficients:
- a = 4
- b = 4
- c = -15
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Apply the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a)
-
Substitute the coefficients into the formula: x = (-(4) ± √((4)^2 - 4(4)(-15))) / (2(4))
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Calculate the discriminant: Discriminant = b^2 - 4ac Discriminant = (4)^2 - 4(4)(-15) = 16 + 240 = 256
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Substitute the discriminant into the formula: x = (-4 ± √256) / (8)
-
Simplify and solve for x: x = (-4 ± 16) / 8
For the positive root: x = (-4 + 16) / 8 = 12 / 8 = 3/2
For the negative root: x = (-4 - 16) / 8 = -20 / 8 = -5/2
Therefore, the solutions for the equation 4x^2 + 4x = 15 are x = 3/2 and x = -5/2.
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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.
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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