Question

consider the expression 5x^2-9x+8​

Answer 1

Answer:

Solving 5x2-9x-8 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 5

B = -9

C = -8

Accordingly, B2 - 4AC =

81 - (-160) =

241

Applying the quadratic formula :

9 ± √ 241

x = —————

10

√ 241 , rounded to 4 decimal digits, is 15.5242

So now we are looking at:

x = ( 9 ± 15.524 ) / 10

Two real solutions:

x =(9+√241)/10= 2.452

or:

x =(9-√241)/10=-0.652