Gio is solving the quadratic equation by completing the square. 5x2 + 15x – 4 = 0. What should Gio do first
Question
Answer:
We observe that we have a polynomial of the form:ax2 + bx + c
Therefore, to complete the square, we must use the following formula:
a (x + (b / 2a)) ^ 2 + c - (b ^ 2 / 4a)
Thus,
Step 1:
We define:
a = 5
b = 15
c = -4
Step 2:
we use the formula:
5 (x + (15 / (2 * 5))) ^ 2 + (-4) - ((15) ^ 2 / (4 * 5))
5 (x + (15 / (2 * 5))) ^ 2 - 15.25
5 (x + 1.5) ^ 2 - 15.25
5 (x + 3/2) ^ 2 - 61/4
Answer:
Gio should do first:
a (x + (b / 2a)) ^ 2 + c - (b ^ 2 / 4a)
a = 5
b = 15
c = -4
solved
general
11 months ago
6923