Question

Solve for x.

x^2+8x+6=0

Answer 1

To solve the given quadratic equation x^2 + 8x + 6 = 0, the quadratic formula is used to find that the solutions are x = -4 + √(10) or x = -4 - √(10).

Step-by-step explanation:

To solve for x in the quadratic equation x^2 + 8x + 6 = 0, we will use the quadratic formula:

For any equation in the form ax^2 + bx + c = 0, the solutions for x can be found using:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 1, b = 8, and c = 6.

Plugging these values into the quadratic formula gives us:

x = (-8 ± √((8)^2 - 4(1)(6))) / (2(1))

x = (-8 ± √(64 - 24)) / 2

x = (-8 ± √(40)) / 2

Since √(40) can be simplified to 2√(10), we get:

x = (-8 ± 2√(10)) / 2

x = -4 ± √(10)

Answer: x = -4 + √(10) or x = -4 - √(10)

Answer 2

hello :
x²+8x+6 =0
the discriminant : Δ = b²-4ac a = 1 b =8 c = 6
Δ = (8)²-4(1)(6) =64-24= 40
x = (-8 ± √40)/2