find the roots of the quadratic equation by formula method:2x^2-3x+5=0
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Step-by-step explanation:
Given:-
2x^2-3x+5=0
To find:-
Find the roots of the quadratic equation by formula method ?
Solution:-
Given quardratic equation is 2x^2-3x+5=0
On comparing with the standard quadratic equation ax^2+bx+c = 0
a = 2
b = -3
c=5
Formula method:-
x =[-b±√(b^2-4ac)]/2a
On Substituting these values in the above formula
=> x = [-(-3)±√{(-3)^2-4(2)(5)]/2(2)
=>x =[3±√(9-40)]/4
=> x = [3±√-31]/4
x = (3+√-31)/4 and (3-√-31)/4
Answer:-
Roots of the given quardratic equation are
(3+√-31)/4 and (3-√-31)/4
Used formula:-
Formula method:-x =[-b±√(b^2-4ac)]/2a
- This formula is called Sridharacharya formula
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