Jedida solved the quadratic equation x2−96=4x by factoring. Her work is shown below. At which step did Jedida first make a mistake, if at all? x2−96=4x Step 1: x2+4x−96=0 Add 4x to both sides. Step 2: (x+12)(x−8)=0 Factor. Step 3: x+12=0 or x−8=0 Use the Zero Product Property. x=−12 or x=8 (1 point) Responses
Step 1; she added 4x to both sides instead of subtracting.
Step 3; she did not apply the Zero Product Property correctly.
She did not make any mistakes.
Step 2; she did not factor the left side of the equation correctly.
3 answers
The mistake was made in Step 1. Jedida should have subtracted 4x from both sides instead of adding 4x.
Solve the following quadratic equation using the perfect square trinomial pattern: x2+x+0.25=0 .(1 point) Responses
x=0.25
x=−0.25
x=−0.5
x=0.5
x=0.25
x=−0.25
x=−0.5
x=0.5
To solve the quadratic equation using the perfect square trinomial pattern, we need to recognize that the equation is in the form of (x + a)^2 = 0.
In this case, we have x^2 + x + 0.25 = 0. To get the perfect square trinomial, we take half of the coefficient of x (which is 1) and square it.
Half of 1 is 0.5, and when we square it, we get 0.25.
So, we can write the equation as (x + 0.5)^2 = 0.
To solve this equation, we set the squared term equal to 0: x + 0.5 = 0.
Now, we solve for x by subtracting 0.5 from both sides: x = -0.5.
Therefore, the solution to the quadratic equation x^2 + x + 0.25 = 0 using the perfect square trinomial pattern is x = -0.5.
In this case, we have x^2 + x + 0.25 = 0. To get the perfect square trinomial, we take half of the coefficient of x (which is 1) and square it.
Half of 1 is 0.5, and when we square it, we get 0.25.
So, we can write the equation as (x + 0.5)^2 = 0.
To solve this equation, we set the squared term equal to 0: x + 0.5 = 0.
Now, we solve for x by subtracting 0.5 from both sides: x = -0.5.
Therefore, the solution to the quadratic equation x^2 + x + 0.25 = 0 using the perfect square trinomial pattern is x = -0.5.
1 answer