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Lapatulllka [165]
3 years ago
15

How do you find the solutions of xsquared-2x=3?

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
4 0

Answer:

-1 and 3

Step-by-step explanation:

We need to solve "xsquared-2x=3"

The following version of xsquared-2x=3 has more appropriate format:

x² - 2x = 3

We need to put this into standard form for quadratic equations.  To accomplish this, subtract 3 from both sides, obtaining:

x² - 2x - 3 = 0

This factors as follows:  (x - 3)(x + 1) = 0.

The solutions are found by setting each factor = 0 separately and solving for x:  3 and -1.

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Factor the trinomial by grouping.<br> 9x^3 - 3x^2 -30x
katen-ka-za [31]

Answer:

3x(3x+5)(x-2)

Step-by-step explanation:

9x^3-3x^2-30x= \\\\3x(3x^2-x-10)= \\\\3x(3x^2+5x-6x-10)= \\\\3x(x(3x+5)-2(3x+5))= \\\\3x(3x+5)(x-2)

Hope this helps!

4 0
3 years ago
The equation y=x^2-12x+45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an a
romanna [79]
Answer: The first day the author reaches 100 days is on day 16.

To solve this problem, you could use a graphing calculator to graph the given equation. Then, determine when this line crosses 100. It crosses when x = 15.539. Therefore, we would have to round up to 16 so it is at least 100.

You could use the quadratic equation to solve: 100 = x^2 -12x + 45

Either you will get 16. If you use the quadratic formula, make sure to only use the positive answer.
7 0
3 years ago
What is the slope of the line that passes through the points (-3,2) and (-1,-5)
Oduvanchick [21]

Answer:

m = -7/2

Step-by-step explanation:

(y2-y1) / (x2-x1)

->

(-5 - 2) / ( -1 -3)

= -7/2

hope that helps :D

7 0
3 years ago
Need help with this geometry
Rasek [7]

Answer:

y = 2

Step-by-step explanation:

The mid segment HJ is half of the third side GK , that is

HJ = \frac{1}{2} GK , substitute values

2y = \frac{1}{2} (y + 6) ← multiply both sides by 2 to clear the fraction

4y = y + 6 ( subtract y from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

3 0
3 years ago
Please help with number 5 and 6
34kurt
It’s the second one for number #5 . hope this helps
3 0
3 years ago
Read 2 more answers
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