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Alborosie
3 years ago
5

Which of the following expression is equal to -3x^2-12?

Mathematics
1 answer:
Vsevolod [243]3 years ago
7 0

i=\sqrt{-1}\to i^2=-1\\\\-3x^2-12=-3(x^2+4)=-3(x^2+2^2)=-3(x^2-(-2^2))\\\\=-3(x^2-(-1\cdot2^2))=-3(x^2-(i^2\cdot2^2))=-3(x^2-(2i)^2)\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=-3(x-2i)(x+2i)\\\\\text{use distributive property}\\\\=\boxed{(-3x+6i)(x+2i)}\to\boxed{a.}

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The cost of one can of soda if 6 cans cost n
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8 0
2 years ago
4x square+ 8 x - 5=0<br><img src="https://tex.z-dn.net/?f=4%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20-%205%20%3D%200" id="TexFormula1
Damm [24]

Answer:

x = \frac{1}{2}

x = -\frac{5}{2}

Step-by-step explanation:

Solve Using the Quadratic Formula

     4x^2 + 8x − 5 = 0

Use the quadratic formula to find the solutions.

    −b ± √b^2 − 4 (ac)

     -------------------------

               2a

Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.

    −8 ± √82 − 4 ⋅ (4 ⋅ −5)

     -------------------------

              2 ⋅ 4

Simplify the numerator.

Raise 8 to the p ower of 2.

     −8 ± √64 − 4 ⋅ 4 ⋅ −5

x=     ---------------------------

               2 ⋅ 4

Multiply −4 by 4.

        −8 ± √64 − 16 ⋅ −5

x =       -------------------------

                2 ⋅ 4

Multiply −16 by −5.

        −8 ± √64 + 80

x =       -------------------

               2 ⋅ 4

Add 64 and 80.

        −8 ± √144

x =        --------------

             2 ⋅ 4

Rewrite 144 as 12^2.

        −8 ± √122

x =       ------------

            2 ⋅ 4

Pull terms out from under the radical, assuming positive real numbers.

multiply 2 by 4          

        −8 ± 12

x=     ------------

            8

simplify

    −2 ± 3

x=   ---------

        2

The final answer is the combination of both solutions.

x= 1/2, -5/2

Hope this helped!

6 0
3 years ago
Read 2 more answers
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