Solve the equation by completing the square round to the nearest hundredth is necessary x^2-x-7=0
1 answer:
The answers are 3.19 or -2.19.
In order to complete the square, you must first get the constant to the other side of the equation. WE do that by adding 7 to both sides.
x^2 - x - 7 = 0
x^2 - x = 7
Now we must take half of the x coefficient (-1), which would be -.5. Then we square it and add it to both sides. This is the second step to any completing the square problem.
x^2 - x = 7
x^2 - x + .25 = 7.25
Now that we have done that, the left side will be a perfect square so that, we can factor it.
x^2 - x + .25 = 7.25
(x - .5)^2 = 7.25
After having done that, we can take the square root of both sides
(x - .5)^2 = 7.25
x - .5 = +/-
Now we can take the value of that square root and solve.
x - .5 = +/-
x - .5 = +/-2.69
x = .5 +/- 2.69
And with the + and - both there, we need to do both to get the two answers.
.5 + 2.69 = 3.19
.5 - 2.69 = -2.19
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Answer:
No
Step-by-step explanation:
Laura painted her room with pink paint that was made by mixing paint at a ratio of 5 parts white paint to 2 parts red paint.
Suppose Laura has 15 parts of white paint. This is thrice the amount Laura needs (because ), so she has to have
parts of red paint.
Hence, if Laura combines 15 parts white and 3 parts red paint, then she will not create the same shade of pink as she used.