Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^2-9=(x+3)^2
- Equation x+y-3=0
-
Equation 2^x=6-x
-
Equation 80-x=9*5
- Express {x} in terms of y where:
- -2*x-4*y=11
- -1*x-6*y=18
- 6*x-19*y=-18
- -14*x+18*y=0
- Graphing y =:
- x^2+5*x
- Integral of d{x}:
- x^2+5*x
- Factor polynomial:
- x^2+5*x
-
Identical expressions
- x^ two + five *x= zero
- x squared plus 5 multiply by x equally 0
- x to the power of two plus five multiply by x equally zero
- x2+5*x=0
- x²+5*x=0
- x to the power of 2+5*x=0
- x^2+5x=0
- x2+5x=0
- x^2+5*x=O
-
Similar expressions
- x^2+5x-24,5=0
- x^2-5*x=0
x^2+5*x=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
This equation is of the form
A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 5$$
$$c = 0$$
, then
Because D > 0, then the equation has two roots.
or
$$x_{1} = 0$$
$$x_{2} = -5$$
a*x^2 + b*x + c = 0
A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
$$x_{1} = \frac{\sqrt{D} - b}{2 a}$$
$$x_{2} = \frac{- \sqrt{D} - b}{2 a}$$
where D = b^2 - 4*a*c - it is the discriminant.
Because
$$a = 1$$
$$b = 5$$
$$c = 0$$
, then
D = b^2 - 4 * a * c =
(5)^2 - 4 * (1) * (0) = 25
Because D > 0, then the equation has two roots.
x1 = (-b + sqrt(D)) / (2*a)
x2 = (-b - sqrt(D)) / (2*a)
or
$$x_{1} = 0$$
$$x_{2} = -5$$
Vieta's Theorem
it is reduced quadratic equation
$$p x + q + x^{2} = 0$$
where
$$p = \frac{b}{a}$$
$$p = 5$$
$$q = \frac{c}{a}$$
$$q = 0$$
Vieta Formulas
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = -5$$
$$x_{1} x_{2} = 0$$
$$p x + q + x^{2} = 0$$
where
$$p = \frac{b}{a}$$
$$p = 5$$
$$q = \frac{c}{a}$$
$$q = 0$$
Vieta Formulas
$$x_{1} + x_{2} = - p$$
$$x_{1} x_{2} = q$$
$$x_{1} + x_{2} = -5$$
$$x_{1} x_{2} = 0$$
The graph