Question

solve 3xsquare +2√5x-5​

Answer 1

Answer:

Solving 3x2-5x-5 = 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 = 3

B = -5

C = -5

Accordingly, B2 - 4AC =

25 - (-60) =

85

Applying the quadratic formula :

5 ± √ 85

x = —————

6

√ 85 , rounded to 4 decimal digits, is 9.2195

So now we are looking at:

x = ( 5 ± 9.220 ) / 6

Two real solutions:

x =(5+√85)/6= 2.370

or:

x =(5-√85)/6=-0.703