Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 :
- 1 =
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 :
- 1 =
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
Answer:
x = -6
Step-by-step explanation:
-5x = 30
Divide each side by -5
-5x/-5 = 30/-5
x = -6
Answer:
28 : 112
Step-by-step explanation:
you can multiply 14 by 2 and 56 by 2 and you get 28 for 14 and 112 for 56 so 28:112 is equivalent to 14:56.
Answer:
7.8 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 48 = x/7
7 tan 48 = x
7.774287604 = x
To the nearest tenth
7.8 =x
Answer:
- y +5 = -5(x +6)
- y = -5x -35
Step-by-step explanation:
For a line with slope m through point (h, k), the point-slope form of the equation is ...
y -k = m(x -h)
For your point and slope, the line is ...
y +5 = -5(x +6)
__
Adding -5 and simplifying puts this in slope-intercept form.
y = -5x -30 -5
y = -5x -35