Question

Write the quadratic equation in standard form:
minus, 7, x, plus, 11, equals, minus, 2, x, squared
−7x+11=
−2x
2

Answer 1

To write the given equation in standard form, we first rewrite the equation:

\[
-7x + 11 = -2x^2
\]

Now, we want to move all terms to one side of the equation to set it equal to zero. We can do this by adding \(2x^2\) to both sides:

\[
2x^2 - 7x + 11 = 0
\]

Now the equation is in standard form \(ax^2 + bx + c = 0\), where:
- \(a = 2\)
- \(b = -7\)
- \(c = 11\)

Thus, the quadratic equation in standard form is:

\[
2x^2 - 7x + 11 = 0
\]