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∙ 6y agoEquation: 2kx^2 -2x^2 +2kx +k -1 = 0
Using the discriminant: (2k)^2 -4*(2k -2)*(k -1) = 0
Solving for k in the discriminant: k = 2 + or - square root of 2
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∙ 6y agoUsing the discriminant formula for a quadratic equation k has a value of 8/25 or maybe 0.
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
4 and the two equal roots are 2/5 and 2/5
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'.
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.
Using the discriminant the possible values of k are -9 or 9
Using the discriminant formula for a quadratic equation k has a value of 8/25 or maybe 0.
They are called the solutions or roots of the equations.
-4,3 are the roots of this equation, so for the values for which the sum of roots is 1 & product is -12
4 and the two equal roots are 2/5 and 2/5
The equation x2+5x+6=0 simplifies to (x+2)*(x+3)=0. From this you can determine the roots by setting x+2 and x+3 equal to zero. The roots of the equation are -2 and -3.
A rational expression is not defined whenever the denominator of the expression equals zero. These will be the roots or zeros of the denominator.
The square root of 25/36 equals 5/6
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)
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'.
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.
If the equation has equal roots then the discriminant of b^2 -4ac = 0:- Equation: kx^2 +x^2 +kx +k +1 = 0 Discriminant: k^2 -4(k+1)(k+1) = 0 Multiplying out brackets: k^2 -4k^2 -8k -4 = 0 Collecting like terms: -3k^2 -8k -4 = 0 Divide all terms by -1: 3k^2 +8k +4 = 0 Factorizing: (3k +2)(k +2) = 0 => k = -2/3 or k = -2 Therefore possible values of k are -2/3 or -2