Answer:
Since the roots are 3, -4 then we must put
-3, 4 into this equation,
(x +a) * (x +b) = 0
(x -3) * (x +4) = 0 then multiplying
x^2 +x -12
Step-by-step explanation:
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:dcf
Step-by-step explanation:
To write an equation you need a slop and y intercept. To find the slop use the formula y2-y1 /x2-x1. and for the y intercept use the formula y=mx+b
Answer:
6.708
Step-by-step explanation:
- Y varies directly as the square of x (Given)
......(1)
- Y varies inversely as the square root of z (Given)
......(2)
- Combining (1) & (2), we find:
(Where k is constant of proportionality).....(3)
- Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.
- Plugging the value of k in (3), we find:
....(4)
- Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.
