Question

FACTOR....
x^2 + 10× - 2400 = 0​

Answer 1

x= -5 + 5
`√(97)`, x= -5 - 5
`√(97)`

Explanation:

Since this quadratic is set to zero, we can use the quadratic formula to solve this.

x^2 + 10x - 2400 = 0​

Quadractic formula = x= -b +-
`√(b^2 - 4ac)` /2a

For this equation:

a= 1, b=10, c=-2400

Plug these numbers into the equation and solve.

x= -10 +-
`√(10^2 - 4(1)(-2400)`)/2(1)

x= -10 +-
`√(100 + 9,600)`/2

x= -10 +-
`√(9,700)`/2

x= -10 +-
`√(2^2 * 5^2 * 97)`/2

x= -10 +- 5 * 2
`√(97)`/2

x= -10 +- 10
`√(97)` / 2

Divide by 2.

x= -5 +- 5
`√(97)`

Answer:

x= -5 + 5
`√(97)` or x= -5 - 5
`√(97)`