159k views
19 votes
Find the roots of the equation 3x^2 - 2x + 4 = 2x^2 - 4 in simplest form

User Yafit
by
4.4k points

1 Answer

5 votes

Answer:

3 x 2 − 2 x + 4 = 2 x 2 − 4

Explanation:

Write the problem as a mathematical expression.

3 x 2 − 2 x + 4 = 2 x 2 − 4

Subtract 2 x 2 − 4 from both sides of the equation.

3 x 2 − 2 x + 4 − 2 x 2 − 4 = 0

Simplify each term.

Subtract 4 from 2 . 3 x 2 − 2 x + 4 − 2 x − 2 = 0

Rewrite the expression using the negative exponent rule

b − n =1 b n . 3 x 2 − 2 x + 4 − 2 1 x 2 = 0

Combine − 2 and 1 x 2 . 3 x 2 − 2 x + 4 + − 2 x 2 = 0

Move the negative in front of the fraction.

3 x 2 − 2 x + 4 − 2 x 2 = 0

User Julien Dubois
by
4.2k points