STEM:
If you can rewrite a quadratic equation as a product of factors that equals zero, you
c...
![Mathematics](/tpl/images/cats/mat.png)
Mathematics, 23.06.2021 05:20, ASTROBOY1
STEM:
If you can rewrite a quadratic equation as a product of factors that equals zero, you
can solve the equation. To solve equations in this manner, you must use all your
factoring skills.
Example:
What are the solutions of the equation x2– x = 20?
First rewrite the equation so that one side equals zero.
x2– x = 20
x2 – x – 20 = 20 – 20
x2 – x – 20 = 0
Subtract 20 from each side.
Simplify.
Now, factor to rewrite the equation as a product of factors equal to zero. Find two
integers whose product is –20 and whose sum is –1. The product of 4 and –5 is
–20, and the sum of 4 and –5 is –1.
x + 4 = 0
x + 4 – 4 = 0 – 4
x = –4
x2 – x – 20 = 0
(x + 4)(x – 5) = 0
or
or
or
x – 5 = 0
x – 5 +5 = 0 +5
x = 5
The solutions are –4 and 5.
These "solutions" tell us where our quadratic function passess through the x-axis (ie this tells us the "roots" aka "x -intercepts" aka "zeros" aka "solutions" aka "zeros" are)
Question:
In the graph provided in the example, what do the coordinates (-4,0) and (5,0) represent?
A
The y- intercept of the function (ie where the function passes through the y-axis)
B
The x-intercept of the function (ie where the function passes through the x-axis)
C
The vertex of the function
D
none of the above
E
the zeros of the quadratic function
F
the roots of the quadratic function
![answer](/tpl/images/cats/otvet.png)
Answers: 2
Other questions on the subject: Mathematics
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 14:00, davidoj13
Me! #1 write an equation for the interior angles of this triangle that uses the triangle sum theorem. #2 what is the value of x? #3 what is the measure of #4 classify the triangle above as acute, obtuse, or right. state your reason in a complete sentence.
Answers: 1
![image](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 20:00, aliahauyon20
The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.
Answers: 3
![image](/tpl/images/cats/mat.png)
![image](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 00:30, lazavionadams81
The nth term of a sequence in 2n-1 the nth term of a different sequence is 3n+1 work out 3 numbers that are in bothe sequences and are between 20 and 40
Answers: 2
Do you know the correct answer?
Questions in other subjects:
![Konu](/tpl/images/cats/biologiya.png)
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/mat.png)
![Konu](/tpl/images/cats/ekonomika.png)
![Konu](/tpl/images/cats/fizika.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 19.08.2021 04:00
![Konu](/tpl/images/cats/mat.png)
Mathematics, 19.08.2021 04:00
![Konu](/tpl/images/cats/fizika.png)
![Konu](/tpl/images/cats/mat.png)
Mathematics, 19.08.2021 04:00
![Konu](/tpl/images/cats/mat.png)
Mathematics, 19.08.2021 04:00