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LiRa [457]
3 years ago
12

Solve the equation. identify any extraneous solutions. x=√6x+7

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0
In order to solve the equation we first need to put the condition:
6x+7>=0
x>= -7/6

We square the equation:
x^2=6x+7
x^2-6x-7=0
x^2+x-7x-7=0
x(x+1)-7(x+1)=0
(x-7)(x+1)=0
x1=7
x2=1

Both solutions meet the condition.

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Can anyone help with these? I appreciate and I will award 5 stars and brainliest
nekit [7.7K]

<u>Graph 1</u>

coordinates : (0,-5) (-6,-2)

m = (y2-y1)/(x2-x1)

m = (-2-(-5))/(-6-0)

m = 3/-6 = -1/2

Substitute the values,

y = mx + c

-2 = (-1/2)(-6) + c

-2 = 3 + c

c = -5

Thus, equation is y = -1/2x -5

<u>Graph </u><u>2</u>

coordinates : ( 4,-2) (-5,3)

m = (y2-y1)/(x2-x1)

m = (3-(-2))/(-5-4)

m = 5/-9

Substitute the values,

y = mx + c

-2 = (-5/9)(4) + c

-2 = -20/9 + c

c = 2/9

Thus, the equation is y = -5/9 + (2/9)

Hope it helps :)

8 0
4 years ago
Use f(x) = 5x+2 and g(x)=x-3<br> to find (f+g)(x).<br> A 5x-1<br> B 5x^2-6<br> c 6x-1<br> D 6x+5
kykrilka [37]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
A math test has 12 multiplication problems and 24 division problems. What is the ratio value of division problems to total probl
antoniya [11.8K]

Answer:

The answer would be 2/3

Step-by-step explanation:

There are 36 total problems and 24 division problems.

So take 24 over 36 and simplify and you get 2/3.

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3 years ago
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