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kumpel [21]
3 years ago
6

FACTOR....x^2 + 10× - 2400 = 0​

Mathematics
1 answer:
Vikki [24]3 years ago
5 0

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}

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