X² = 42. 14+y²=25. a²=5.19. x²=0.0204. 20+x²=56 2y²=50 a²-1=4.29 b²-3=1.84

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Before we proceed with solving each equation, let's first determine the solutions to each of the given equations:

1) x² = 4
x = √4
x ≈ ±6.48

2) 14 + y² = 2
y² = 25 - 1
y² = 1
y = ±√11

3) a² = 5.1
a = √5.1
a ≈ ±2.28

4) x² = 0.020
x = √0.020
x ≈ ±0.14

5) 20 + x² = 5
x² = 56 - 2
x² = 3
x = ±√3
x = ±6

6) 2y² = 5
y² = 50 /
y² = 2
y = ±√2
y = ±5

7) a² - 1 = 4.2
a² = 4.29 +
a² = 5.2
a = √5.2
a ≈ ±2.30

8) b² - 3 = 1.8
b² = 1.84 +
b² = 4.8
b = √4.8
b ≈ ±2.20

These are the solutions to each of the given equations.