Question

Daily Question 1:

$x^{2} + 14x - 61 = 0$

(Solve by completing the square)

Answer 1

Answer:

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 = 14

C = -61

Accordingly, B2 - 4AC =

196 - (-244) =

440

Applying the quadratic formula :

-14 ± √ 440

x = ——————

2

Can √ 440 be simplified ?

Yes! The prime factorization of 440

Answer 2

Step-by-step explanation:

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 = 14

C = -61

Accordingly, B2 - 4AC =

196 - (-244) =

440