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Answer:
6x² + 5x - 2 = 0
Step-by-step explanation:
Given
2x² - 5x - 6 = 0 ← in standard form
with a = 2, b = - 5, c = - 6, then
sum of roots α + β = - 
= 
product of roots = 
= - 3, then
sum of new roots = 
+ 
= 
= 
= - 
product of new roots = ×
= 
= - 
Hence the required equation is
x² + x - = 0 or
6x² + 5x - 2 = 0 ( multiplying through by 6 )
Answer:
Perimeter = 18 units
Step-by-step explanation:
one side = 4
other side² = 3² + 4² + 25
other side = √25 = 5
Perimeter = (2 x 4) + (2 x 5) = 18 units
Answer:
none
Step-by-step explanation:
We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.
According to the 'Law of Sines- Ambiguous Case', we have,
If a < b×sinA, then no triangle is possible.
If a = b×sinA, only one triangle is possible
If a > b×sinA, two triangles are possible.
So, we have,
b×sinA = 10 × sin30 = 10 × 0.5 = 5.
Now, as
4 = a < bsinA = 5.
We get, according to the rule, no triangle is possible.
