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Q: How many solutions for x does the following equation have?
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Is it possible for an equation to have many solutions and can an equation have no solutions?

Yes and yes. eg x = y + 1 has an infinite number of solutions, and {sin(x) + cos(x) = 2} does not have a solution.


How many solutions does an equation have?

Equations can have many solutions. The equation of a straight line, for example, defines all points on the line. Even a simple equation such as x+y=5 can have a variety of solutions (x=1 when y=4, x=2 when y=3 and so on)


How many solutions are there to the equation below 3x - 10(x plus 2) 13 - 7x?

How many solutions are there to the equation below? 3x-10(x+2) = 13-7x 0


When you square each side of an equation is the resulting equation equivalent to the original?

No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2


How many solutions are there in the quadratic equation x2 - 4x - 77 equals 0?

There are two solutions for x: x=11 and x=-7


How many solutions are there to the equation x equals -4?

One solution: x = -4


How many solutions does x 5 have?

None, because there is no equation in the question.


How many solutions are there to the equation below 11x - 99 11(x - 9)?

There are infinitely many solutions to 11x - 99 = 11(x - 9)


In an algebraic equation when x is equal to -2.5 how many solutions does it have?

The answer depends on the equation which is not specified in the question.


Find an equation for which -3 and 4 are solutions?

To find an equation where two numbers are solutions of x, do the following: x=-3 , x=4 x+3=0 , x-4=0 Multiply them together and set equal to zero, i.e. (x+3)(x-4) = x2-x-12 = 0


How many solutions are there to 8x 478(x 5)?

There is no equation (or inequality) in the question and so there cannot be any solutions.


How many solutions does the equation X 2 plus 7X plus 12 have?

None because without an equal it is not an equation. But if it was in the form of x2+7x+12 = 0 then it would have 2 solutions which are x = -3 and x = -4