3 years ago

101/25converted to a mixed number

Mathematics

1 answer:

elena55 [62]3 years ago

6 0

101÷25
4 with a remainder of 1/25
4 1/25

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Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula?

dimaraw [331]

Answer:

We substitute $x=\frac{-(-1)+/-\sqrt{(-1)^2-4(1)(-2)} }{2(1)}$

And simplify $x=\frac{1+/-\sqrt{1-4(1)(-2)} }{2}$

Step-by-step explanation:

First we rearrange the equation -2=-x+x2-4 into standard form of a quadratic $ax^2+bx+c=0$ . This equation becomes $x^2-x-2=0$ where a=1, b=-1, and c=-2.

The formula is:

$x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}$ .

We substitute $x=\frac{-(-1)+/-\sqrt{(-1)^2-4(1)(-2)} }{2(1)}$

And simplify $x=\frac{1+/-\sqrt{1-4(1)(-2)} }{2}$

$x=\frac{1+/-\sqrt{1+8} }{2}$

$x=\frac{1+/-\sqrt{9} }{2}\\x=\frac{1+/-3 }{2}\\x=2,-1$

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Solve for all solutions of the equation. Show all work for full credit. X^3-8=0

Marianna [84]

Answer:

Step-by-step explanation:

Hello

We can notice that

$2^3=2\times 2\times 2=8$

so 2 is one solution, we can put (x-2) in factor

$x^3-8=(x-2)(x^2+2x+4)\\ \\ \Delta=2^2-4\times4=4-16=-12$

So there is no other real solution.

Thanks

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