Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x+970=69*32
- Equation x^4-50*x^2+49=0
-
Equation (x^2-4)^2+(x^2-3x-10)^2=0
-
Equation 3^x=7
- Express {x} in terms of y where:
- 1*x+6*y=-6
- -5*x+6*y=-8
- -2*x-9*y=10
- 11*x-12*y=11
- 36*x
-
Identical expressions
- (x+ nine)^ two = thirty-six *x
- (x plus 9) squared equally 36 multiply by x
- (x plus nine) to the power of two equally thirty minus six multiply by x
- (x+9)2=36*x
- x+92=36*x
- (x+9)²=36*x
- (x+9) to the power of 2=36*x
- (x+9)^2=36x
- (x+9)2=36x
- x+92=36x
- x+9^2=36x
-
Similar expressions
- 81x^3+36x^2+4x=0
- (x-9)^2=36*x
- (36^x)-(4*(6^x))-12=0
- 1/3*(6x-9)-(5x-6)=0
(x+9)^2=36*x equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Move right part of the equation to
left part with negative sign.
The equation is transformed from
$$\left(x + 9\right)^{2} = 36 x$$
to
$$- 36 x + \left(x + 9\right)^{2} = 0$$
Expand the expression in the equation
$$- 36 x + \left(x + 9\right)^{2} = 0$$
We get the quadratic equation
$$x^{2} - 18 x + 81 = 0$$
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
$$a = 1$$
$$b = -18$$
$$c = 81$$
, then
Because D = 0, then the equation has one root.
$$x_{1} = 9$$
left part with negative sign.
The equation is transformed from
$$\left(x + 9\right)^{2} = 36 x$$
to
$$- 36 x + \left(x + 9\right)^{2} = 0$$
Expand the expression in the equation
$$- 36 x + \left(x + 9\right)^{2} = 0$$
We get the quadratic equation
$$x^{2} - 18 x + 81 = 0$$
This equation is of the form
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
$$a = 1$$
$$b = -18$$
$$c = 81$$
, then
D = b^2 - 4 * a * c =
(-18)^2 - 4 * (1) * (81) = 0
Because D = 0, then the equation has one root.
x = -b/2a = --18/2/(1)
$$x_{1} = 9$$
The graph