A triangle has sides of 4 and 6. What is a possible length of the third side?
1 answer:
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Answer:
4x−7
Step-by-step explanation:
Being given our polynomial:
+ x - 14,
We must find the roots to get our answer.
x = (- 1 ± √(1 - 4*4*(-14)) / 8
x = (- 1 ± √225) / 8
x = ( -1 ± 15) / 8
x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4
x₂ = (- 1 - 15) / 8 = - 16/2 = - 8
The factors we came up with:
(x - x₁)(x - x₂)
(x - 7/4)(x + 8)
1/4(4x - 7)(x + 8)
So,
The correct option is C.
:)