Question

3. x2 + 7x + 15
Solve using quadriceps formula

Answer 1

Given:

The equation is,

`x^2+7x+15`

Step-by-step explanation:

The solution of equation,

`ax^2+bx+c=0`

using quadratic formula is,

`x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}`

Solve the equation using quadratic formula.

`\begin{gathered} x=\frac{-7\pm\sqrt[]{(7)^2-4\cdot1\cdot15}}{2\cdot1} \\ =\frac{-7\pm\sqrt[]{49-60}}{2} \\ =\frac{-7\pm\sqrt[]{-11}}{2} \\ =\frac{-7\pm\sqrt[]{11}i}{2} \end{gathered}`

So, solution of system of equation is,

`x=\frac{-7\pm\sqrt[]{11}i}{2}`