Question

Writw the equation of the root 8, 1/-2

Answer 1

Concept

To write an equation for given roots, let x variable represent the solutions

Therefore,

x = 8 and x = -1/2

x - 8 = 0 and x + 1/2 = 0

x - 8 and x + 1/2 are factors.

`\text{Next, multiply the two factors, then equate it to zero.}`

Next, multiply the two roots to find the equation.

`\begin{gathered} (x\text{ - 8) x (x + }(1)/(2)\text{ ) = 0} \\ x^2\text{ + }(1)/(2)x\text{ }-\text{ 8x - 8 }*\text{ }(1)/(2)\text{ = 0} \\ x^2\text{ + }(1)/(2)x\text{ - 8x - }(8)/(2)\text{ = 0} \\ x^2\text{ - }(7)/(2)x\text{ - 4 = 0} \end{gathered}`

Final answer

`x^2\text{ - }(7)/(2)x\text{ - 4 = 0}`