40x=10x^2+41 Identify the number of solutions and their types using the discriminant
1 answer:
Number of solutions: no roots
Type of solution: Not Real
Step-by-step explanation:
We need to identify the number of solutions and their types using the discriminant.
We are given:
Rearranging:
Discriminant can be found by:
where b=-40, a=10 and c=41
Putting values:
So, Discriminant is -40
If the discriminant is less than zero i.e -40 then there are no real roots.
So, Number of solutions: no roots
Type of solution: Not Real
Keywords: discriminant
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Answer:
x = 5.2
Step-by-step explanation:
Let's first simplify our first function:
Now, we just need to set this function equal to our other given function.
Now, we can add 12 to both sides:
Now, add 5x to both sides:
Finally, we'll divide both sides by 5:
Answer: x = 5.2