Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
Answer:
2.50 or 2.5
Step-by-step explanation:
1/4=.25 so 25% of a number=5/8=0.625
So we multiply .625*4 to get the number. Since it's 25% and we want 100% to get it back to the original number
.625*4=2.50 or 2.5
Answer:
-7(5-u)
Step-by-step explanation:
-7(5-u)
-7x5 -7x-u
-35+7u
Answer:
31
Step-by-step explanation:
x+24+4x+1=180
5x+25=180
5x=155
x=155/5=31
9514 1404 393
Answer:
D. 3 to 4
Step-by-step explanation:
The ratio ...
blueberries : strawberries = (1/2) : (2/3)
can be changed to a ratio of integer by multiplying by the least common denominator: 6.
= 6(1/2) : 6(2/3) = 3 : 4
