MATH SOLVE

3 months ago

Q:
# 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 = 20a = 3, b = 7, c = −20a = 3, b = −20 , c = 7a = 3, b = 20, c = −7

Accepted Solution

A:

Answer: Second option.Step-by-step explanation: Given a Quadratic equation in the form: [tex]ax^2+bx+c=0[/tex] It can be solve with the Quadratic formula. This is: [tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex] In this case, given the Quadratic equation: [tex]3x^2=20-7x[/tex] You can rewrite it in the form [tex]ax^2+bx+c=0[/tex]: - Subtract 20 from both sides of the equation: [tex]3x^2-20=20-7x-20\\\\3x^2-20=-7x[/tex] - Add [tex]7x[/tex] to both sides of the equation: [tex]3x^2-20+7x=-7x+7x\\\\3x^2+7x-20=0[/tex] Therefore, you can identify that: [tex]a=3\\b=7\\c=-20[/tex]