Step-by-step explanation:
I guess method 1 means to deal with whole factors.
x + 5 = (x - 2)(x + 5)
for (x + 5) <> 0 we can divide both sides by this factor :
1 = x - 2
x = 3
for the second solution we deal with
x + 5 = 0
x = -5
so, for x = -5 and x = 3 both functions deliver the same output, and these are the intersection points.
method 2 : we multiply the expression out and solve it then
x + 5 = (x - 2)(x + 5)
x + 5 = x² + 5x - 2x - 10 = x² + 3x - 10
0 = x² + 2x - 15
the general solution to such a square equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = 2
c = -15
x = (-2 ± sqrt(2² - 4×1×-15))/(2×1) =
= (-2 ± sqrt(4 + 60))/2 = (-2 ± sqrt(64))/2 = (-2 ± 8)/2 =
= -1 ± 4
x1 = -1 + 4 = 3
x2 = -1 - 4 = -5
and you get the 2 solutions again. as expected, they are the same as with method 1, of course.
For no. 62 the answer is A.
Answer:
3
Step-by-step explanation:
Reduce the expression using the order of operations
There is no restrictions for x for f(x) =3✓x because you can take the cube root of any real numbers. Therefore, the domain is infinity she. dealing with the set of real numbers.
You can't take the square root of negative numbers. So, x values are restricted for f(x) = ✓x for real numbers and the domain is (0, infinity).
<h3>How to explain the domain?</h3>
It should be noted that since x cannot take negative values in the question, the square root he undefined. Hence it is an imaginary value.
Also, You can't take the square root of negative numbers. So, x values are restricted for f(x) = ✓x for real numbers and the domain is (0, infinity).
The complete question is attached.
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Answer:
x = - 6
Step-by-step explanation:
Given that y varies directly as x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = - 9 when x = 3, thus
k =
=
= - 3
y = - 3x ← equation of variation
When y = 18, then
18 = - 3x ( divide both sides by - 3 )
x = - 6