Answer:
<h2>Step 2</h2>
Step-by-step explanation:
Given the quadratic equation 6x² + 24x + 7 = 0, the following steps must be followed when finding the roots using the completing the square method.
Step 1: Subtract 7 from both sides
6x² + 24x + 7 - 7= 0 -7
6x² + 24x = -7
Step 2: divide through by the coefficient of x²
6x²/6 + 24x/6 = -7/6
x² + 4x = -7/6
Step 3: Add half of the coefficient of x (i.e 4/2 = 2) to both sides of the equation to complete the square of the equation x² + 4x.
x² + 4x + 2= -7/6 + 2
(x+2)² = -7/6 + 2
(x+2)² = 5/6
Step 4: taking the square root of both sides
√(x+2)² = √5/6
x+2 = ±√5/6
x = -2±√5/6
x = -2+√5/6 and -2-√5/6
Based on the conclusion above, it can be seen that Yvonne made the first error in step 2. Yvonne suppose to divide through by the coefficient of x² (i.e 6)
Answer:
y=2/3x-3
Step-by-step explanation:
First, find the slope of the line. Which is (1+5)/(6+3)=6/9=2/3.
Next, we find the y-intercept. Which is (0, -3).
We have the equation y=2/3x-3. To graph the line just plot the two points in the equation, and the y-intercept. Then draw a straight line.
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
2^3 [ 1/4 + 4(36 / 12) ]
8 [ 1/4 + 4(3)]
8 [ 1/4 + 12]
8( 1/4 + 48/4)
8(49/4)
392/4
98
