6x^2−30x−224=0
plz solve the equation
Answers
Answer:
If it is for the roots: x = -4.10177 or x = 9.10177
Explanation:
Find the solution for:
6x^2 - 30x - 224 = 0
using the quadratic formula where a = 6, b = -30, and c = -224
x = -b ± √b^2 - 4ac
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2a
x = -(-30) ± √(-30)^2 - 4(6)(-224)
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2(6)
x = 30 ± √900 - (-5376)
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12
x = 30 ± √6276
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12
The discriminant b^2 - 4ac > 0 so, there are two real solutions/roots.
Simplify the radical:
x = 30 ± 2√1569
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12
x = 30 ± 2√1569
–– ––––––
12 12
Simplify the fractions and/or signs:
x = 5 ± √1569
– –––––
2 6
which becomes:
x = -4.10177
x = 9.10177
Answer:
x = 30 ± √900 - (-5376)
––––––––––––––––
12
x = 30 ± √6276
––––––––––
12
The discriminant b^2 - 4ac > 0 so, there are two real solutions/roots.
Simplify the radical:
x = 30 ± 2√1569
–––––––––––
12
x = 30 ± 2√1569
–– ––––––
12 12
Simplify the fractions and/or signs:
x = 5 ± √1569
Explanation: