Quadratic Equation Solver

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lesson on Quadratic Formula

Quick Answer

Actual Graph of y = 1x2-1x+0

See lesson on Graphing
  • x = 1, 0 (sometimes solutions may be close approximations of the actual solutions)

  • Expression factored: 1x2-1x+0 = (x-1)(x+0)

  • See lesson on Quadratic Formula

Solution Explained

Equation: 1x^2-1x+0 = 0

a = 1
b = -1
c = 0

Discriminant: b2-4ac = 1 2+4*1*0 = 1

Discriminant (1) is greater than zero. The equation has two solutions.


x = (-b +- sqrt( b^2-4ac ) )/2a

or

x = (-(-1)+- sqrt( 1^2 +4*1*0 ))/(2*1)
or

x1,2 = (1 ± 1) / 2*1
or

x1 = 2 / 2 = 1
x2 = 0 / 2 = 0

or

x1,2 = 1, 0 



Equation factored:

(x-1)(x+0)
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Word Problem Example:

The length of a hypotenuse of a right triangle is 2 feet more than the longer leg. The length of the longer leg is 7 feet more than the lenth of the shorter leg. Find the number of feet in length of each side of the right triangle.

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