Write the quadratic equation in the form ax2 + bx + c = 0 then the roots (solutions) of the equation are: [-b ± √(b2 - 4*a*c)]/(2*a)
0x2 + 1x - 7 = 0
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The easiest way to write a generic algorithm is to simply use the quadratic formula. If it is a computer program, ask the user for the coefficients a, b, and c of the generic equation ax2 + bx + c = 0, then just replace them in the quadratic formula.
It depends on the level of your mathematical knowledge. One way is to differentiate the quadratic equation and find the value of x for which the derivative is 0. The advantage of this method is that it works for turning points of polynomials of all degrees. The disadvantage is that you need to know differentiation. For a quadratic, an alternative, and simpler way is to write the equation in the form: y = ax2 + bx + c Then the x value of the vertex is -b/2a
Write the quadratic equation in the form ax2 + bx + c = 0 then the roots (solutions) of the equation are: [-b ± √(b2 - 4*a*c)]/(2*a)
(x + 5) (x + 1) = 0x2 + 6x + 5 = 0
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Write an algorithm to find the root of quadratic equation
Just write the equation as: (x - 11)(x - 3) = 0 and convert it to any form you like.
To solve a quadratic equation using factoring, follow these steps: Write the equation in the form ax2 bx c 0. Factor the quadratic expression on the left side of the equation. Set each factor equal to zero and solve for x. Check the solutions by substituting them back into the original equation. The solutions are the values of x that make the equation true.
0x2 + 1x - 7 = 0
Solutions: x = 9 and x = 1 Factored: (x-9(x-1) = 0 Equation: x2-10x+9 = 0
Ax2 + Bx + C = 0'A', 'B', and 'C' are numbers (constants).
Write the quadratic equation in the standard form: ax2 + bx + c = 0 Then calculate the discriminant = b2 - 4ac If the discriminant is greater than zero, there are two distinct real solutions. If the discriminant is zero, there is one real solution. If the discriminany is less than zero, there are no real solutions (there will be two distinct imaginary solutions).
x2 - 4x + 4 or (x - 2)2
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