Solve by Graphing
x^2+2x-3=0
9 questions
quadratic systems quiz part 1
unit 5 lesson 8
please post all answers
I have just finished and here are the answers
1:c (1, -3)
2:b (6.2, 9.1)
3:a (1-7i)
4:d (no)
5:a (0,3)
6:a (-3/4i,3/4i)
7:c (-4,0 -1,3)
8:a (tiny grey)
9:b (5i)
x^2+2x-3=0
(x+3)(x-1) = 0
x=-3 or x=1
on a number line circle the -3 and the 1
Step by step solution
Factoring this quadratic equation.
_____________
Remark:
- x + 3 x = 2 x
_____________
x² + 2 x - 3 = x² - x + 3 x - 3 =
( x² - x ) + ( 3 x - 3 )=
x ( x - 1 ) + 3 ( x - 1) =
( x - 1 ) ( x + 3 )
x² + 2 x - 3 = 0
is same as
( x - 1 ) ( x + 3 ) = 0
The equation will be equal to zero when the expressions in parentheses are equal to zero.
First solution.
x - 1 = 0
Add 1 to both sides.
x = 1
Second solution.
x + 3 = 0
Subtract 3 to both sides.
x = - 3
The solutions are:
x = - 3 and x = 1
Answrr is c
( 1, - 3 )
bramboy is correct
100%
To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, you can follow these steps:
Step 1: Rearrange the equation to the standard form: ax^2 + bx + c = 0. In this case, we have x^2 + 2x - 3 = 0, so the coefficients are a = 1, b = 2, and c = -3.
Step 2: Plot the quadratic function on a graph. To do this, you can create a table of values, or use a graphing calculator or online tool.
Step 3: Find the x-intercepts of the quadratic function, which are the points where the graph crosses the x-axis. These x-values correspond to the solutions of the equation. Look for the points where the graph intersects the x-axis.
Step 4: Read the x-values of the x-intercepts and write them down as the solutions to the equation.
Now, let's solve the equation x^2 + 2x - 3 = 0 by graphing:
Step 1: The equation is already in standard form.
Step 2: Plot the function. You can use a graphing calculator or an online graphing tool to do this. The graph of the function will be a parabola.
Step 3: Determine the x-intercepts by looking for the points where the graph crosses the x-axis. These points correspond to the solutions of the equation.
Step 4: Read the x-values of the x-intercepts from the graph and write them down as the solutions to the equation.
It seems there are 9 questions related to this quadratic systems quiz, part 1 of unit 5, lesson 8. Unfortunately, I cannot answer all the questions without more specific information. Please provide the exact questions, and I'll be happy to assist you in solving them.