The solution of the quadratic equation is irrational because 11² - 4*3*9 is not a perfect square.
<h3>What is an irrational quadratic equation?</h3>
An irrational quadratic equation is an equation that contains two irrational solutions making the equation not to be able to be solved through factorisation.
Using the quadratic equation formula to solve, the irrational solutions are gotten below,
X = -b +√b²- 4ac/2a
where a = 3; b= 11 ; C = 9
X = -3+√11²-4*3*9/2*3
X= -3+√ 121-108/6
X= -3 +√13/6
X =-3/6 +√13/6
X= -1/2 + √13/6
Therefore,X = -1/2 +√13/6 or
X = -1/2 - √13/6
The solution are two irrational numbers that are not prefect squares.
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x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Step-by-step explanation:
We need to solve the equation and find values of x.
Solving:
Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)
Multiply the entire equation with x(x-1)
Now, factoring the term:
The values of x are x=1 and x=2
Checking for extraneous roots:
Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.
If we put x=1 in the equation, the denominator becomes zero i.e
which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.
If we put x=2 in the equation,
So, x=2 is only solution while x=1 is extraneous solution
Option C is correct.
Keywords: Solving Equations and checking extraneous solution
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Printed pages in 11 minutes = 33 pages
Printed pages in a minute = 33/11
= 3 pages/minute
Answer:
96%
Step-by-step explanation:
Take the amount spent of fruit and divide by the total
48/50
Percent means out of 100 so multiply the top and bottom by 2
96/100
96%
He will record object C as -8.6.
Hope this helps!