Solve all 5 questions for 62 points if they are correct you will be marked brainiest
2 answers:
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Answer:
(x, y) = (-1, -16) or (3, 0)
Step-by-step explanation:
Perhaps you want to solve the system of equations ...
- y = x^2 +2x -15
- y -4x = -12
Substituting the first expression for y into the second equation gives ...
x^2 +2x -15 -4x = -12
x^2 -2x -3 = 0 . . . . . . . . add 12
(x -3)(x +1) = 0 . . . . . . . factor
Solutions are the values of x that make the factors zero: x = 3, x = -1.
The corresponding values of y are ...
y = -12 +4x
y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}
The solutions to the system are ...
(x, y) = (-1, -16) or (3, 0)
<u>Solution</u><u>:</u>
The rationalisation factor for is
So, let us apply it here.
The rationalising factor for 5 - √2 is 5 + √2.
Therefore, multiplying and dividing by 5 + √2, we have
<u>Answer:</u>
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Hope you could understand.
If you have any query, feel free to ask.