Question

Consider the following quadratic equation - x ^ 2 + 3x - 7 = 0 Step 1 of 2 Find the values of a , b, and that should be used in the quadratic formula to determine the solution of the quadratic equation

Answer 1

Recall that the quadratic formula states that the solution to the quadratic equation:

`ax^2+bx+c=0`

are:

`x=(-b\pm√(b^2-4ac))/(2a).`

Notice that a is the coefficient of the quadratic part, b is the coefficient of the linear part and c is a constant.

We can rewrite the given equation as follows:

`(-1)x^2+3x+(-7)=0.`

Therefore, the values a, b, and c that should be used in the quadratic formula to compute the solutions to the quadratic equation:

`-x^2+3x-7=0`

are:

`\begin{gathered} a=-1, \\ b=3, \\ c=-7. \end{gathered}`

Answer:

`\begin{gathered} a=-1, \\ b=3, \\ c=-7. \end{gathered}`