Equation: x^2 +2kx +10x +k^2 +5 = 0
Using the discriminant: (2k +10)^2 -4*1*(k^2 +5) = 0
Multiplying out the brackets: 4k^2 +40K +100 -4k^2 -20 = 0
Collecting like terms: 40k +80 = 0 => 40k = -80 => k = -80/40
Therefore the value of k = -2
Chat with our AI personalities
Using the discriminant the possible values of k are -9 or 9
Since a squared plus b squared equals c squared, that is the same as c equals the square root of a squared plus b squared. This can be taken into squaring and square roots to infinity and still equal c, as long as there is the same number of squaring and square roots in the problem. Since this question asks for a and b squared three times, and also three square roots of a and b both, they equal c. Basically, they cancel each other out.
Using the discriminant of b^2 -4ac = 0 the value of k works out as -2
If you mean b^2 -4ac then it is the discriminant of a quadratic equation. If the discriminant equals 0 then the equation has 2 equal roots. If the discriminant is greater than 0 then the equation has 2 different roots. If the discriminant is less than 0 then it has no real roots.
It will then have 2 different roots If the discriminant is zero than it will have have 2 equal roots