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Answer:
-5/4 +i(√2)/4 and -5/4 -i(√2)/4
Step-by-step explanation:
I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...
x^2 +5/2x +27/16 = 0
Completing the square by adding and subtracting the square of half the x-coefficient, we get ...
(x^2 +5/2x +25/16) +27/16 -25/16 = 0
(x +5/4)^2 = 2/16
Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...
x +5/4 = ±√(-2/16)
x = -5/4 ±i(√2)/4
The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.
The solution of the equation are as follows:
x = 6 and y = -5
<h3 />
<h3>How to solve the system of equation?</h3>
4x + 5y = -1
-5x - 8y = 10
Therefore,
20x + 25y = -5
-20x - 32y = 40
-7y = 35
y = -5
Hence,
4x + 5(-5) = -1
4x - 25 = -1
4x = -1 + 25
4x = 24
x = 24 / 4
x = 6
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Answer:
f(x) = 4(x - 8)
4 (10 -8) = 8
Step-by-step explanation:
Let's begin with x as the number of slices the runner up ate.
Davonne ate four more than twice
So the equation should look somewhat like this.
4+2x=11
2x=7
x=3.5
So the runner up ate 3.5 slices
<span>Davonne ate four more than twice as many slices as the runner up. If Davonne ate 11 slices, then how many slices did the runner up eat?</span>
