1) √9-144х²
2)√64+х(х+16)
3)√36-4х-х²
4) √3х²+2х-5
5)х²-16<0
6) х²-95≤0
7)х²+1>0
1)√9-144х²
(√9-144х²)²
9-144х²=0
-144x²=-9 |:(-9)
16x²=1
x²=+-4
(√64+х(х+16))²
64+х(х+16)
64+x^2+16x=0
x^2+16x+64=0
D=16^2-4*1*64=256-256=0
(√36-4х-х²)^2
36-4х-х²
-x^2-4x+36=0 |:(-1)
x^2+4-36=0
D=4^2-4*1*(-36)= 16+144=160
x12=-4+-160/2
x1=-4+160/2=78
x2=-4-160/2=-82
4)√3х²+2х-5
(√3х²+2х-5)^2
3х²+2х-5=0
D= 2^2-4*1*(-5)=4+20=24
x12=-2+-24/2
x1=-2+24/2=11
x2=-2-24/2=13
х²<+-4
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Answers & Comments
1)√9-144х²
(√9-144х²)²
9-144х²=0
-144x²=-9 |:(-9)
16x²=1
x²=+-4
2)√64+х(х+16)
(√64+х(х+16))²
64+х(х+16)
64+x^2+16x=0
x^2+16x+64=0
D=16^2-4*1*64=256-256=0
3)√36-4х-х²
(√36-4х-х²)^2
36-4х-х²
-x^2-4x+36=0 |:(-1)
x^2+4-36=0
D=4^2-4*1*(-36)= 16+144=160
x12=-4+-160/2
x1=-4+160/2=78
x2=-4-160/2=-82
4)√3х²+2х-5
(√3х²+2х-5)^2
3х²+2х-5=0
D= 2^2-4*1*(-5)=4+20=24
x12=-2+-24/2
x1=-2+24/2=11
x2=-2-24/2=13
5)х²-16<0
х²<+-4