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What is the value of K in kx2-x-40 has two distinct real roots?
Wiki User
∙ 11y ago
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Alex Kuhic
Wiki User
∙ 11y agoUsing the formula to slove the given quadratic to find the roots there is a term involving the square-root of (-1)2 - 4(-40)(k). This expression has to be positive or zero if the roots are real. So 1+160k has to be positive or zero (ie >=0). So k>=-1/160
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That depends on the value of its discriminant if its less than zero then it has no real roots.
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What is the discriminant of a quartic equation and how can you determine the real and complex roots from the value of the discriminant?
Child stop trying to cheat on your homework!
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The equation ax^2 + bx + c = 0 where a, b and c are real and a is non-zero has discriminant D = b^2 – 4ac. Then,if D > 0 the equation has two real roots which are distinct;if D = 0 the equation has two real roots which are coincident;if D < 0 the equation has two roots which form a complex conjugate pair (advanced mathematics only).
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If the roots are real then which type of vibrations will occur in damped systems?
real roots= Overdamped equal roots= critically damped complex roots /imaginary roots = Underdamped
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There is no difference between real solutions and real roots.
What is the discriminant of a quartic equation and how can you determine the real and complex roots from the value of the discriminant?
Child stop trying to cheat on your homework!
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