What are the roots of x in - 10x2 + 12x - 9 = 0?
2 answers:
Answer:
Thus, The two roots of the given quadratic equation are : x = 0.5225 or x = -1.7225
Step-by-step explanation:
The quadratic equation is given to be :
10x² + 12x - 9 = 0
A = 10 , B = 12 , C = 9
Now, using the discriminant rule :
So, x = 0.5225 or x = -1.7225
Thus, The two roots of the given quadratic equation are : x = 0.5225 or x = -1.7225
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In this question, it is given that
Leanne has a gas card that has $150 on it. She spends $25 a week on gas.
And we have to Write a recursive rule that represents the amount of money she has on her gas card after the first week .
Recursive rule shows the relationship between previous value and the current value .
And here, the recursive rule is
Where a(n-1) is the initial amount which is $150 . And a(n) is the amount after n week .
So for n=1, that is amount in the card after 1 week, we will get
And that's the amount remaining in the card after 1 week .
Answer with explanation:
The given statement is which we have to prove by the principal of Mathematical Induction
1.→For, n=1
L H S =2
R H S=1
2>1
L H S> R H S
So,the Statement is true for , n=1.
2.⇒Let the statement is true for, n=k.
---------------------------------------(1)
3⇒Now, we will prove that the mathematical statement is true for, n=k+1.
Hence it is true for, n=k+1.
So,we have proved the statement with the help of mathematical Induction, which is