A linear equation will have one unique solution when...

Mathematics

1 answer:

Katena32 [7]3 years ago

4 0

Answer:

… you can write it in the form ax = b (a ≠ 0).

Step-by-step explanation:

In that case, there is one unique solution: x = b/a.

If a = 0 and b ≠ 0, we get 0x = b , and there are no solutions.

If a = 0 and b = 0, we get 0x = 0, and there are an infinite number of solutions.

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HELP IMA GIVE BRAINLY AND A LIKE

kirill [66]

Answer: 18 animals

Step-by-step explanation:

3 out of 20 pet owners get their pet from a breeder.

To find how many animals have been bought from a breeder, you need to find 3/20 of the 122 animals.

3/20 = 0.15

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Why does a triangular prism and an oblique triangular prism, each made up of 15 equal cross sections, have the same volume? Sele

statuscvo [17]

Answer:

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Step-by-step explanation:

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3 years ago

X^2 + 32x + 256 = 1<br>please show steps

Elena L [17]

$\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Explanation:</h2>

In this case, we have the following equation:

$x^2+32x+256=1$

But we can write this equation as:

$x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0$

So this final result is a quadratic equation written in Standard Form ( $ax^2+bx+c=0$ ). We need to find the solutions to this equations, so let's use quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$