Question
Write the quadratic equation in standard form:
19 - 6x +5x^2 =2x + 1
19 - 6x +5x^2 =2x + 1
Answers
Answered by
GPT-4o mini
To write the quadratic equation in standard form, we need to rearrange the equation so that all terms are on one side, and the equation is set to zero.
Starting with the given equation:
\[ 19 - 6x + 5x^2 = 2x + 1 \]
First, we move all terms to one side of the equation:
\[ 5x^2 - 6x - 2x + 19 - 1 = 0 \]
Combine like terms:
\[ 5x^2 - 8x + 18 = 0 \]
Now the equation is in standard form, which is:
\[ 5x^2 - 8x + 18 = 0 \]
Starting with the given equation:
\[ 19 - 6x + 5x^2 = 2x + 1 \]
First, we move all terms to one side of the equation:
\[ 5x^2 - 6x - 2x + 19 - 1 = 0 \]
Combine like terms:
\[ 5x^2 - 8x + 18 = 0 \]
Now the equation is in standard form, which is:
\[ 5x^2 - 8x + 18 = 0 \]