1-
10[tex]x^{2}[/tex]-1000=0
[tex]x^{2}[/tex] - 100 = 0
[tex]x^{2}[/tex] = 100
x = [tex]\sqrt{100}[/tex] = ±10
a = 10, b = -10
[tex]a^{2}[/tex] = [tex]10^{2}[/tex] = 100, [tex]b^{2}[/tex] = [tex](-10)^{2}[/tex] = 100
[tex]a^{2} +b^{2}[/tex] = 100 + 100 = 200
2- a) [tex]x^{2} \\[/tex] = 49
x = ±7
b) x = ± 1
c) [tex]x^{2}[/tex] - 25 = 0
[tex]x^{2}[/tex] = 25
x = ±5
d) [tex]x^{2}[/tex] - 1 = 0
[tex]x^{2}[/tex] = 1
x = ±1
e) [tex]x^{2}[/tex] - 3 = 0
[tex]x^{2}[/tex] = 3
x = ±[tex]\sqrt{3}[/tex]
f) 3 = [tex]x^{2}[/tex]
x = ±[tex]\sqrt{3}[/tex]
