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MA_775_DIABLO [31]
2 years ago
5

Find the values of x for which f(x) = g(x). (Enter your answers as a comma-separated list.) f(x) = x2, g(x) = x + 20

Mathematics
2 answers:
amid [387]2 years ago
6 0
Given
function f(x) = x²
function g(x) = x + 20

Solution:
Substitute f(x) with x² and substitute g(x) with (x + 20)
f(x) = g(x)
x² = x + 20

Move all terms to the left side. After moving, the positive ones become negative.
x² = x + 20
x² - x - 20 = 0

I break -x into -5x + 4x
x² - x - 20 = 0
x² - 5x + 4x - 20 = 0

Factorize x² - 5x
x² - 5x + 4x - 20 = 0
x(x - 5) + 4x - 20 = 0

Now factorize 4x - 20
x(x - 5) + 4x - 20 = 0
x(x - 5) + 4(x - 5) = 0

Separate (x - 5) from all terms using distributive property, the remaining one is (x + 4)
x(x - 5) + 4(x - 5) = 0
(x - 5)(x + 4) = 0

The solution
x - 5 = 0
x = 5
or 
x + 4 = 0
x = -4

f(x) and g(x) will be both equal if the value of x is either 5 or -4
tekilochka [14]2 years ago
5 0
 f(x) = x2 + 2x + 1, g(x) = 11x − 19 x<span>2 </span>+ 2x + 1 = 11x - 19 x2 - 9x + 20 = 0 (x-4)(x-5) = 0 x = 4, 5
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5t 8=43 whats t.I WILL GIVE 50 POINTS AND IF YOU DONT RECEIVE THE POINTS TELL ME AND I WILL GIVE THEM.PLZ HELP MEEEEEEEEEEEEEEEE
lawyer [7]

==> I can't be sure of the equation.  There's a blank space
        between '5t' and '8', where an operation must be.
       I think the operation is more likely ' + ' (addition).  Brainly usually
       does show the ' - ' if it's subtraction, but goes blank if it's addition.
       Tell you what I'll do:  Since you sound so desperate, and you're being
       so generous with your points,  I'll show you how to figure it out both ways.

----------------------------------------

If it's subtraction:                 5t - 8 = 43

Add  8  to each side:              5t      = 51

Divide each side by  5 :            t     = 51/5

                                                 t     = 10 and 1/5

--------------------------------------------

If it's addition:                         5t + 8  =  43

Subtract  8  from each side:     5t        =  35

Divide each side by  5 :             t        =   7 

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