^ - степень
1) 18x-3x^2=21x-3x^2
-3x=0
D=b^2-4ac = (-3)^2 - 4*0 = 9
x1,2 = (-b+-√D)/2a = (+-√9+3)/0 = 0
x=0
2) 7-12k-45=35-9k
-3k-73=0
-3k=73
-k=73/3
k=24*1/3
Solve for x over the real numbers:
x^2+4 = 6-x
Subtract 6-x from both sides:
x^2+x-2 = 0
The left hand side factors into a product with two terms:
(x-1) (x+2) = 0
Split into two equations:
x-1 = 0 or x+2 = 0
Add 1 to both sides:
x = 1 or x+2 = 0
Subtract 2 from both sides:
Answer: |
| x = 1 or x = -2
Удачи!
1. 2x²-3 =0
2х²=3
х²=1,5
х=±√1,5
2. 16x² = 49
х²=49/16
x=±7/4
3. x² - 2x - 35 =0
D=4+140=144=12²
x=(2+12)/2=7
x=(2-12)/2=-5