One root of the quadratic equation
r2 - 12x + k = 0 is 3, then find the value o
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☺️Question:-
One root of the quadratic equation
r2 - 12x + k = 0 is 3, then find the value of k .
☺️Solution:-
☞Given:-
• 3x^2 - 12x + k= 0
☞By formula:-
consider the roots are { α , β }
• α + β = - b/a
• α + β = - (-12/3) = 4 (1)☺️
We have to find:- αβ = c/a
• αβ = k/3 (2)
take ,α = 3 ,put this in (1) ,then
• β = 4–3 = 1
put the values of α and β in (2)☺️
• αβ = k/3
• 3*1 = k/3
• k = 3*3*1 = 9
☞final Solution:-
K = 9
Hope it helps you
☞Good question !
Keep questioning ☺️.......... .
______Thanks and Regards_______
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