Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation cos(x)=sin(x)
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Equation sin(x)+1/2=0
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Equation 12x+5(6-3x)=10-3x
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Equation k^2+k-6=0
- Express {x} in terms of y where:
- -12*x+3*y=-9
- -10*x-16*y=-6
- 16*x+7*y=8
- -11*x+4*y=-8
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Identical expressions
- (x+ five)^ four -(thirteen *x^ two)*(x+ five)^ two +36x^ four = zero
- (x plus 5) to the power of 4 minus (13 multiply by x squared ) multiply by (x plus 5) squared plus 36x to the power of 4 equally 0
- (x plus five) to the power of four minus (thirteen multiply by x to the power of two) multiply by (x plus five) to the power of two plus 36x to the power of four equally zero
- (x+5)4-(13*x2)*(x+5)2+36x4=0
- x+54-13*x2*x+52+36x4=0
- (x+5)⁴-(13*x²)*(x+5)²+36x⁴=0
- (x+5) to the power of 4-(13*x to the power of 2)*(x+5) to the power of 2+36x to the power of 4=0
- (x+5)^4-(13x^2)(x+5)^2+36x^4=0
- (x+5)4-(13x2)(x+5)2+36x4=0
- x+54-13x2x+52+36x4=0
- x+5^4-13x^2x+5^2+36x^4=0
- (x+5)^4-(13*x^2)*(x+5)^2+36x^4=O
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Similar expressions
- (x+5)^4+(13*x^2)*(x+5)^2+36x^4=0
- (x+5)^4-(13*x^2)*(x+5)^2-36x^4=0
- (x-5)^4-(13*x^2)*(x+5)^2+36x^4=0
- (x+5)^4-(13*x^2)*(x-5)^2+36x^4=0
(x+5)^4-(13*x^2)*(x+5)^2+36x^4=0 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
4 2 2 4 (x + 5) - 13*x *(x + 5) + 36*x = 0
$$36 x^{4} + \left(- 13 x^{2} \left(x + 5\right)^{2} + \left(x + 5\right)^{4}\right) = 0$$
Sum and product of roots
[src]
sum
-5/3 - 5/4 + 5/2 + 5
$$\left(\left(- \frac{5}{3} - \frac{5}{4}\right) + \frac{5}{2}\right) + 5$$
=
55 -- 12
$$\frac{55}{12}$$
product
-5*(-5)
-------*5
3*4
---------*5
2
$$5 \frac{5 \left(- \frac{-25}{12}\right)}{2}$$
=
625 --- 24
$$\frac{625}{24}$$
625/24
Rapid solution
[src]
x1 = -5/3
$$x_{1} = - \frac{5}{3}$$
x2 = -5/4
$$x_{2} = - \frac{5}{4}$$
x3 = 5/2
$$x_{3} = \frac{5}{2}$$
x4 = 5
$$x_{4} = 5$$
x4 = 5