What is the length of the diameter for the circle having equation of x2 + y2 + 10x - 24y + 69 = 0
1 answer:
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Answer:
x= -5 + 5, x= -5 - 5
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 +- /2a
For this equation:
a= 1, b=10, c=-2400
Plug these numbers into the equation and solve.
x= -10 +- )/2(1)
x= -10 +- /2
x= -10 +- /2
x= -10 +- /2
x= -10 +- 5 * 2/2
x= -10 +- 10 / 2
Divide by 2.
x= -5 +- 5
Answer:
x= -5 + 5 or x= -5 - 5