Question

Nick is solving the equation 3x2=20−7x with the quadratic formula.

Which values could he use for a, b, and c?



a = 3, b = ​−7​ , c = 20

a = 3, b = 7, c = −20

a = 3, b = ​−20​ , c = 7

a = 3, b = 20, c = −7

Answer 1

Answer: Second option.

Step-by-step explanation:

Given a Quadratic equation in the form:

$ax^2+bx+c=0$

It can be solve with the Quadratic formula. This is:

$x=\frac{-b\±\sqrt{b^2-4ac} }{2a}$

In this case, given the Quadratic equation:

$3x^2=20-7x$

You can rewrite it in the form $ax^2+bx+c=0$:

- Subtract 20 from both sides of the equation:

$3x^2-20=20-7x-20\\\\3x^2-20=-7x$

- Add $7x$ to both sides of the equation:

$3x^2-20+7x=-7x+7x\\\\3x^2+7x-20=0$

Therefore, you can identify that:

$a=3\\b=7\\c=-20$

Answer 2

Answer:

option B. a=3, b=7, c=-20

I just took the test :)

Step-by-step explanation: