Question

Which strategy is the most appropriate strategy to solve 5x^2−x+3=0 ?

square root property

zero product property

quadratic formula

Answer 1

Option C - The best strategy is quadratic formula.

Explanation:

Given : Equation -
`5x^2-x+3=0`

To find : Which strategy is the most appropriate strategy to solve.

Solution :

The best strategy is quadratic formula as the given equation is in form of quadratic.

Quadratic equation is in from
`ax^2+bx+c=0`

Solution is
`x=(-b\pm√(b^2-4ac))/(2a)`

The given equation is
`5x^2-x+3=0`

a=5 , b=-1, c=3

Solution is
`x=(-b\pm√(b^2-4ac))/(2a)`

`x=(-(-1)\pm√((-1)^2-4(5)(3)))/(2(5))`

`x=(1\pm√(1-60))/(10)`

`x=(1\pm√(-59))/(10)`

`x=(1\pm√(59)i)/(10)`

`x=(1+√(59)i)/(10),x=(1-√(59)i)/(10)`

Therefore, Option C - The best strategy is quadratic formula.

Answer 2

we are given with the quadratic equation 5x^2−x+3=0 and is asked in the problem the correct way to determine the values of the roots. we can answer this problem using the quadratic formula since in the first place this is a quadratic equation. C is the answer.