Question

FACTOR....
x^2 + 10× - 2400 = 0​

Answer 1

Answer:

x= -5 + 5$\sqrt{97}$, x= -5 - 5$\sqrt{97}$

Step-by-step 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 +- $\sqrt{b^2 - 4ac}$ /2a

For this equation:

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

Plug these numbers into the equation and solve.

x= -10 +- $\sqrt{10^2 - 4(1)(-2400}$)/2(1)

x= -10 +- $\sqrt{100 + 9,600}$/2

x= -10 +- $\sqrt{9,700}$/2

x= -10 +- $\sqrt{2^2 * 5^2 * 97}$/2

x= -10 +- 5 * 2$\sqrt{97}$/2

x= -10 +- 10$\sqrt{97}$ / 2

Divide by 2.

x= -5 +- 5$\sqrt{97}$

Answer:

x= -5 + 5$\sqrt{97}$ or x= -5 - 5$\sqrt{97}$