By this equation: d = 4(32), we know what d equals, which means we have the value of d.
d= 4*32
d = 128
Answer:
x = 2.5 or -0.8
Step-by-step explanation:
Here, we are to use completing the square method to solve for the values of x
Firstly, we divide through by 4
= x^2 -7/4x -2 = 0
Now, we move the two term to the right hand side
x^2 -7/4x = 2
Now, we divide the coefficient of x by 2 and square it;
That would be;
(-7/4 * 1/2)^2 = 49/64
we now add this value to both sides of the equation
x^2 -7/4x + 49/64 = 2 + 49/64
The right hand side can be rewritten as;
(x-7/8)^2 = 177/64
taking the square root of both sides
x-7/8 = √(177/64)
x = 7/8 ± √(177/64)
x = 7/8 + √(177/74) or 7/8 - √(177/64)
= x = 2.53802 or -0.788017
Which to the nearest tenth is
x = 2.5 or -0.8
f(x) = x^2 + 6x - 7
y = x^2 + 6x - 7
y = (x - 1)(x + 7)
x + 7 = 0
x = -7
x - 1 = 0
x = 1
The x-intercepts are -7 and 1.
Since the leading coefficient is a positive, the graph will point upwards.
So, the graph of the function is D.
