Decide which part of the quadratic formula tells you whether the quadratic equation can be solved by factoring.
−b b^2 − 4ac 2a
Use the part of the quadratic formula that you chose above and find its value, given the following quadratic equation:
4x^2 + 6x + 2 = 0
Chicken
The part of the quadratic formula that tells you whether the quadratic equation can be solved by factoring is the discriminant, which is represented by b^2 - 4ac.
To find the value of the discriminant for the given quadratic equation (4x^2 + 6x + 2 = 0), we need to identify the values of a, b, and c.
From the quadratic equation, we can see that a = 4, b = 6, and c = 2.
Now, we can substitute these values into the formula for the discriminant:
b^2 - 4ac = (6)^2 - 4(4)(2)
Simplifying further:
= 36 - 32
= 4.
Therefore, the value of the discriminant for the given quadratic equation is 4.
The part of the quadratic formula that determines whether the quadratic equation can be solved by factoring is the discriminant, which is represented by the expression b^2 - 4ac.
For the quadratic equation 4x^2 + 6x + 2 = 0, we can identify the values of a, b, and c to substitute into the discriminant.
In this case, a = 4, b = 6, and c = 2.
Next, we substitute these values into the discriminant expression: b^2 - 4ac.
Substituting the values, we have:
(6)^2 - 4(4)(2)
Simplifying further, we get:
36 - 32
Finally, we calculate the value:
4
The value of the discriminant in this case is 4.
If the value of the discriminant is greater than zero (in this case, the value is 4), then the quadratic equation can be solved by factoring.
can be solved by factoring. ??
I wonder if your teacher meant "can have real roots". All can be factored, however, if the (b^2-4ac) is negative, the roots are complex, and Difficult to factor, however, they can be solved by factoring.
b^2-4ac
36-34...=4