x^2-45x+324 solve with quadratic formula
Answers
Answered by
20
ANSWER:
To Solve:
- x^2 - 45x + 324
Solution:
We are given that,
We know that, by Quadratic Formula,
Here, a = 1, b = -45 and c = 324.
So,
So,
Hence,
Therefore, value of x is 36 and 9.
Answered by
3
Step-by-step explanation:
x² - 45x + 324
In the standard form of quadratic equation (ax² + bx + c), here
- a = 1
- b = -45
- c = 324
Using the quadratic formula,
put the value of a, b & c
Now,
root(zero) no. 1 -
taking 45+27/2,
root no. 2 -
taking 45-27/2,
So the roots for this equation are,
x = 36 & x = 9
.
Note :-
A quadratic equation have only two zeroes.
Sum of zeroes = -b/a
product of zeroes = c/a
To find the roots (zeroes) are real or imaginary -
When discriminant (b² - 4ac),
- b² - 4ac < 0, so roots are imaginary
- b² - 4ac = 0, roots are real and both roots will be equal
- b² - 4ac > 0, roots are real and unequal.
.
Quadratic formula (we used above) is also known as Sridharacharya formula, because he discovered it.
.
hope it helps.
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