Divide all terms by -2:
4x2+4x+1 = 0
(2x+1)(2x+1) = 0
x = -1/2 and also x = -1/2
The quadratic equation has 2 equal roots.
no
-2
There are an infinite number of solutions to this equation, some of which are (9,0), (12,2), (15,4), (18,6), (21,8)
6
An equation may have zero, one, or more solutions (this is also true for a system of equations). The equation 2 + x = 5 has only solution, for example. x can only equal 3, so there is one solution. (An example of an equation with more that one solution is x2 = 4. In this case x can equal 2 or -2, so this equation has two solutions. An example of an equation with an infinite number of solutions is x + 6 = 3*2 + x. x can equal any number to make this equation true, so it has an infinite number of solutions. The equation x = x + 1 is an example of an equation with no solutions.)
no
This is an equation of a line. There are an infinite number of solutions which are all points on the line. It is a linear equation.
-2
There are an infinite number of solutions to this equation, some of which are (9,0), (12,2), (15,4), (18,6), (21,8)
is an equation of a line in plane coordinate geometry. The coordinates of every point on that line satisfy the equation so there are an infinite number of solutions to the equation.
6
The discriminant is -439 and so there are no real solutions.
That equation has no solutions.There's no number that can go in place of 'x' that canmake the equation a true statement.
It is not appropriate to talk about "the" three solutions for this equations; the equation describes a straight line, and has an infinite number of solutions. Solve the equation for "y", substitute any value for "x", and calculate the corresponding value for "y", to get one opf these solutions.
An equation never equals a number, but its solution often does.-- An equation with a solution of six: [ 3x - 14 = 4 ]-- An equation with a solution of three: [ 14 - 10x = -16 ]-- An equation with both solutions: [ x2 - 9x + 20 = 2 ]An equation that equals 6 is 10 - 4 = 6An equation that equals 3 is 10 - 7 = 3
The number of solutions an equation has depends on the nature of the equation. A linear equation typically has one solution, a quadratic equation can have two solutions, and a cubic equation can have three solutions. However, equations can also have no solution or an infinite number of solutions depending on the specific values and relationships within the equation. It is important to analyze the equation and its characteristics to determine the number of solutions accurately.
Yes, as long as 'k' is not less than zero.