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What are the possible values of k when kx2 plus x2 plus kx plus k plus 1 equals 0 has repeated roots?
Wiki User
∙ 6y ago
Equation: kx^2 +x^2 +kx +k +1 = 0
Using the discriminant: K^2 -4*(k +1)*(k +1) = 0
Expanding brackets: k^2 -4k^2 -8k -4 = 0
Collecting like terms: -3^2 -8k -4 = 0
Dividing all terms by -1: 3k^2 +8k +4 = 0
Factorizing the above: (3k +2)(k +2) = 0 meaning k = -2/3 or -2
Therefore possible values of k are either: -2/3 or -2
Wiki User
∙ 6y ago
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What roots of the quadratic equation are equivalent to xx-x-12 equals 0?
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
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Using the discriminant formula for a quadratic equation k has a value of 8/25 or maybe 0.
Why are x values called roots?
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What are the roots X2 plus x-1 equals 0?
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How is combining like terms similar to adding and subtracting square roots?
In surd form, square roots need to be have the same radical term before you can add or subtract them. However, unlike in algebraic expressions, it is possible to add or subtract square roots using approximate (decimal) values.
What are the possible values of k when the equation x squared plus 2kx plus 81 equals 0 has equal roots?
Using the discriminant the possible values of k are -9 or 9
What are the values called at which the equation equals zero?
They are called the solutions or roots of the equations.
What roots of the quadratic equation are equivalent to xx-x-12 equals 0?
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y = x2 - 4x + 4 = (x - 2)2 has one repeated root
What does the discriminant tell you when solving quadratic equations for the roots?
Whether the equation has 2 distinct roots, repeated roots, or complex roots. If the determinant is smaller than 0 then it has complex roots. If the determinant is 0 then it has repeated roots. If the determinant is greater than 0 then it has two distinct roots.
What are the possible values of k in the quadratic equation x squared plus 5kx plus 2k equals 0 which has equal real roots?
Using the discriminant formula for a quadratic equation k has a value of 8/25 or maybe 0.
How do you determine the values for which a rational expression is undefined?
A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.
These values are also called because they are the values at which the equation equals zero?
zeros values at which an equation equals zero are called roots,solutions, or simply zeros. an x-intercept occurs when y=o ex.) y=x squared - 4 0=(x-2)(x+2) (-infinity,-2)(-2,2) (2,infinity)
Why are x values called roots?
In math speak: Solving the equation means finding 'x' values that make the equation true. These 'x' values are called the roots of the quadratic.
What are the roots X2 plus x-1 equals 0?
The roots are -1/2 of [ 1 plus or minus sqrt(5) ] . When rounded: 0.61803 and -1.61803. Their absolute values are the limits of the Fibonacci series, or the so-called 'Golden Ratio'.
How is combining like terms similar to adding and subtracting square roots?
In surd form, square roots need to be have the same radical term before you can add or subtract them. However, unlike in algebraic expressions, it is possible to add or subtract square roots using approximate (decimal) values.
What are the values of the variables when 6x squared plus 2x plus k equals 0 has repeated roots?
Equation: 6x^2 +2x +k = 0 Using the discriminant formula: k = 1/6 Using the quadratic equation formula: x = -1/6 Check: 6(-1/6)^2 +2(-1/6) +1/6 = 0
