I need help with this word problem.
2 answers:
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Answer:
-1.8,3
Step-by-step explanation:
This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.
looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).
Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:
, this will result in 3, which is one of your values for x
the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!
Answer:
(6, -3)
Step-by-step explanation:
I will solve this system using elimination.
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I will multiply by 2 so that -x becomes -2x.
2(-x + 2y = -12)
Distribute.
-2x + 4y = -24
Now subtract this from the other equation.
2x + 3y = 3
<u>-2x + 4y = -24</u>
7y = -21
Divide both sides by 7.
y = -3
Now that we have the value of y, plug it into the original equation.
-x + 2(-3) = -12
Simplify.
-x - 6 = -12
Add 6 to both sides.
-x = -6
Divide both sides by -1.
x = 6
(6, -3)