SOLUTION: f(x)=x^2-3 f(x)=-1/2x^2+3 f(x)=x^2+4x+1 f(x)=x^2-10x+3

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Question 102946This question is from textbook College Algebra
: f(x)=x^2-3
f(x)=-1/2x^2+3
f(x)=x^2+4x+1
f(x)=x^2-10x+3 This question is from textbook College Algebra

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
1.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=12 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1.73205080756888, -1.73205080756888. Here's your graph:


2.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=6 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -2.44948974278318, 2.44948974278318. Here's your graph:


3.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=12 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: -0.267949192431123, -3.73205080756888. Here's your graph:


4.
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=88 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 9.69041575982343, 0.30958424017657. Here's your graph:
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