A fraction is a short way to write a division problem. When you see a fraction, it means "the top number divided by the bottom number". When you actually DO the division, the answer is the decimal that's equal to the fraction.

7 0

3 years ago

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Solve the equation by using the quadratic formula. x^2+2x=6

katrin [286]

Answer:

$\Huge \boxed{{x=-1\pm \sqrt{7}}}$

Step-by-step explanation:

x² + 2x = 6

Subtract both sides by 6.

x² + 2x - 6 = 0

ax²+bx+c=0

a=1, b=2, and c=-6

We can apply the quadratic formula.

$\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plug in the values.

$\displaystyle x=\frac{-2\pm\sqrt{2^2-4(1)(-6)}}{2(1)}$

Evaluate.

$\displaystyle x=\frac{-2\pm\sqrt{4-(-24)}}{2}$

$\displaystyle x=\frac{-2\pm\sqrt{28}}{2}$

$\displaystyle x=\frac{-2\pm 2\sqrt{7}}{2}=-1 \pm \sqrt{7}$

6 0

3 years ago

The area of a square is 8 square meters. which of these is closest to the length of one side of the square?''

sveticcg [70]

I hope this helps you

3 0

2 years ago

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What polygon is formed when 2 equilateral triangles that are congruent and share a side

zalisa [80]

You form a rhombus.

Draw an equilateral triangle, and then mirror it around its base. All the sides are clearly equal, because they are all sides of the same equilateral triangle.

Moreover, the top and bottom angle are 60°, because they are angles of an equilateral triangle, while the left and right angles are 120, because they're 60+60 angles.

7 0

3 years ago