For each quadratic equation, identify the values of a, b, and c.
1. 16x^2 = 3x
A: a = 16; b = -3; c = 0.
2. -4x^2 = -9
A: a = 4; b = 0; c = -9.
correct. good work.
To identify the values of a, b, and c for a quadratic equation, we first need to understand the standard form of a quadratic equation:
ax^2 + bx + c = 0
In the given examples:
1. 16x^2 = 3x
We can see that the equation is already in standard form. From here, we can directly identify the values of a, b, and c by comparing the equation with the standard form.
Here, a = 16, b = 3 (which is -3 when written in standard form), and c = 0.
2. -4x^2 = -9
Similar to the first example, we can observe that the equation is in standard form. By comparing the given equation with the standard form, we can determine the values of a, b, and c.
In this case, a = -4, b = 0, and c = -9.
So, the values of a, b, and c for the quadratic equations are:
1. a = 16, b = -3, c = 0
2. a = -4, b = 0, c = -9