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Jrstx333
18.10.2020 •
Mathematics
Solve the following quadratic equation by factoring.
x^2 - 5x = 14
(Answers are in photo)
10 points!!!
Please explain how you got your answer.
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Ответ:
x = 7, -2
Step-by-step explanation:
Factor and set each factor equal to 0Ответ:
==========================================
Work Shown:
x^2 - 5x = 14
x^2 - 5x - 14 = 0
(x-7)(x+2) = 0 .... this step is further explained below
x-7 = 0 or x+2 = 0
x = 7 or x = -2
The order of the solutions does not matter.
-------------------------
To factor x^2-5x-14, we need to find two numbers that multiply to -14 and add to -5. This is done through trial and error. I recommend making a table to help organize everything. See the diagram below.
After a bit of guess work, you should find that -7 and 2 are the two values we're after
-7 + 2 = -5
-7 * 2 = -14
This is why x^2-5x-14 = (x-7)(x+2)
Ответ:
1. 4
2. 2
3. 7
4. 12 because the square root to get a square root you have to know multiplication