Mathematics: Find the solutions of the quadratic equation 6x^2-6x-2=0 Choose 1 (choice A) A (choice B) B (choice C) C (choice D) D

Find the solutions of the quadratic equation 6x^2-6x-2=0

Ответ:

stricklandashley43

17.03.2022

Mathematics

$\dfrac{1}{2} \pm \dfrac{\sqrt{21}}{6}$

Step-by-step explanation:

6x^2 - 6x - 2 = 0

Divide both sides by 2.

3x^2 - 3x - 1 = 0

We compare it to the standard form:

ax^2 + bx + c = 0

We have a = 3, b = -3, c = -1.

To factor, we need two numbers that multiply to ac and add to b.

ac = 3 * (-1) = -3

-3 = -3 * 1; -3 + 1 = -2

-3 = -1 * 3; -1 + 3 = 2

There are no two integers whose product is -3 and whose sum is -3, so we cannot factor the trinomial. We use the quadratic formula to solve the equation.

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

$x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(3)(-1)}}{2(3)}$

$x = \dfrac{3 \pm \sqrt{9 + 12}}{6}$

$x = \dfrac{3 \pm \sqrt{21}}{6}$

$x = \dfrac{1}{2} \pm \dfrac{\sqrt{21}}{6}$

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Ответ:

kaleaweeks

07.02.2020

Mathematics

OPTION A

Step-by-step explanation:

You can calculate volume of the rectangular prism with the following formula:

V=Bh

Where B is the area of the base and h is height of the prism.

The problem gives you the area of the base and the height, they are:

$B=125units^{2}\\h=5units$

When you substitute values, you obtain the following result:

$V=125units^{2}*5units=625m^{3}$

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Find the solutions of the quadratic equation 6x^2-6x-2=0

Choose 1

(choice A)
A

(choice B)
B

(choice C)
C

(choice D)
D

Ответ:

Ответ:

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