Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2-x=12
-
Equation x-5(x+3)=5
-
Equation (|x+4|)=5
-
Equation -x=2
- Express {x} in terms of y where:
- -4*x+4*y=-9
- -19*x-2*y=-6
- -2*x+2*y=4
- -17*x-8*y=7
-
Identical expressions
- (x- six)²=(fifteen -x)²
- (x minus 6)² equally (15 minus x)²
- (x minus six)² equally (fifteen minus x)²
- x-6²=15-x²
-
Similar expressions
- 13²-x²=14²-(15-x²)
- (x-6)²=(15+x)²
- (x²+5x-6)²+5(x²+5x-6)-6=0
- (x+6)²=(15-x)²
(x-6)²=(15-x)² equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
Expand expressions:
Reducing, you get:
Move free summands (without x)
from left part to right part, we given:
$$18 x = 189$$
Divide both parts of the equation by 18
We get the answer: x = 21/2
(x-6)^2 = (15-x)^2
Expand expressions:
36 + x^2 - 12*x = (15-x)^2
(x-6)^2 = 225 + x^2 - 30*x
Reducing, you get:
-189 + 18*x = 0
Move free summands (without x)
from left part to right part, we given:
$$18 x = 189$$
Divide both parts of the equation by 18
x = 189 / (18)
We get the answer: x = 21/2
Sum and product of roots
[src]
sum
21/2
$$\frac{21}{2}$$
=
21/2
$$\frac{21}{2}$$
product
21/2
$$\frac{21}{2}$$
=
21/2
$$\frac{21}{2}$$
21/2