Question

the equation x²+7x+9 = 0 find its roots​

Answer 1

Answer:

x^2 + 7x + 9 = 0

Find two such no.s whose product is 9 and their addition gives 7.

But in this question it's not possible

THIS EQUATION DOESN'T HAVE ANY REAL ROOTS

Answer 2

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 = 1

B = -7

C = 9

Accordingly, B2 - 4AC =

49 - 36 =

13

Applying the quadratic formula :

7 ± √ 13

x = —————

2

√ 13 , rounded to 4 decimal digits, is 3.6056

So now we are looking at:

x = ( 7 ± 3.606 ) / 2

Two real solutions:

x =(7+√13)/2= 5.303

or:

x =(7-√13)/2= 1.697