if one of the roots of the equation X2+6x+k=0 is 4, the other root is -10. Is it true or false?
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Answer:
The answer depends on the value of k
Step-by-step explanation:
Let the equation be ax²+bx+c then
sum of roots= -b/a
product of roots= c/a
Here, the equation is x²+6x+k=0
sum of roots (4+(-10))= -(6)/1 = 6
product of roots(4*(-10))= (-40)/1=40
So if k=40 only then the statement holds true
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