Question

Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8? Quadratic formula: x =

Answer 1

The answer to your problem is x=4/3 

Answer 2

The positive solution to the given quadratic equation is given by:

`x=1.39`

Explanation:

The quadratic equation is given by:

`2x^2+3x-8=0`

We know that the solution of the quadratic equation of the type:

`ax^2+bx+c=0`

is given by:

`x=(-b\pm √(b^2-4ac))/(2a)`

Here,

`a=2,\ b=3\ and\ c=-8`

Hence, the solution is:

`x=(-3\pm √(3^2-4* 2* (-8)))/(2* 2)\\\\x=(-3\pm √(9+64))/(4)\\\\x=(-3\pm √(73))/(4)\\\\x=(-3+√(73))/(4)\ or\ x=(-3-√(73))/(4)\\\\x=1.38600\ or\ x=-2.88600`

which on rounding to the nearest hundredth is:

`x=1.39\ \ or\ \ x=-2.89`

Hence, the positive solution is:

`x=1.39`