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kupik [55]
3 years ago
13

What is the factored expression of 63x^2-3x-6

Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

3(3x-1)(7x +2)

Step-by-step explanation:

63x^2-3x-6

Suppose a generic quadratic equation

ax^2 + bx + c

To factor this equation, I need to find its roots. Then we use the quadratic formula of:

\frac{-b + \sqrt{b^2-4ac}}{2a}

and

\frac{-b + \sqrt{b^2-4ac}}{2a}

So, for the equation 63x ^ 2-3x-6 we have:

\frac{3 + \sqrt{(-3)^2-4(63)(-6)}}{2(63)} = \frac{1}{3}

and

\frac{3 - \sqrt{(-3)^2-4(63)(-6)}}{2(63)} = \frac{-2}{7}

So:

(x-\frac{1}{3}) = 0\\\\(3x-1) = 0

and

(x - (-\frac{2}{7})) = 0\\\\(x+ \frac{2}{7}) = 0\\\\(7x +2) = 0

Finally the polynomial is:

(3x-1)(7x +2)

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Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!

We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.

If you have any questions feel free to ask away!!

Comprehension

We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.

We also know that in an isosceles angle, the base angles are equation to each other.

Now that we know what we need to know, we can setup an equation.

2x-6+(2x)=180

We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.

I'll start solving now.

Solving

We can solve this by using the equation we made above and solving it with algebra.

2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5

We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.

2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5

We've proven that our answer is correct by double checking,

Therefore the answer is 46.5!

Cheers!

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Step-by-step explanation

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