Question

а) X² -144=0
б)100-81x²=0
в)196-y²=0
г)225y² -64=0

 

Answer 1

X² -144=0
X²=144>0
X$_{1}$=√144=12
X$_{2}$=-√`44=-12


100-81x²=0
-81x²=-100
x²=$frac{100}{81}$>0
x$_{1}$=$sqrt{ frac{100}{81} }$=$frac{10}{9} = 1 frac{1}{9}$
x$_{2}$=$- sqrt{ frac{100}{81} } =- frac{10}{9} =-1 frac{1}{9}$

196-y²=0
-y²=-196
y²=196>0
y$_{1}$=√196=14
y$_{2}$=-√196=-14

225y² -64=0
225y²=64
y²=$frac{64}{225}$>0
y$_{1}$=$sqrt{ frac{64}{225} } = frac{8}{15}$
y$_{2}$=$- sqrt{ frac{64}{225} } = -frac{8}{15}$