Find the value of K from quadratic equation x^2+underoot 2kx+18=0 has equal roots
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Answered by
6
SOLUTION:-
Given:
Quadratic equation;
x² + √2kx +18=0
Therefore,
We can compared by Ax² +Bx + c= 0.
So,
⚫A= 1
⚫B= √2k
⚫C= 18
For real & equal roots;
We know that Formula of discriminate:
Discriminate= 0
=) b² -4ac=0
=) (√2k)² - 4×1× 18=0
=) 2k - 4× 18 =0
=) 2k - 72=0
=) 2k= 72
=) k= 72/2
=) k= 36
Hope it helps ☺️
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