5x*2-3x=0
5x-3x=-2
2x=-2
x=-1
-5x^2+8x-3=0
5x^2-8x+3=0
D= 64-4*5*3=4=2^2
x=8+-2/10
x=1 или x=0.6
1) -(1/3 xy³)² * (-3x)³ = -<u>1 </u>* x² y⁶ * (-3³ x³) = 3x⁵y⁶
3²
2) (-2a³b)³ * (-2b) = -8a⁹b³ * (-2b) = 16a⁹ b⁴
3) (14/15)⁴ * (3/7)⁴ * (2.5)³ = <u>2⁴ * 7⁴</u> * <u>3⁴ </u>*<u> 5³ </u>= 2/5 =0.4
3⁴ * 5⁴ 7⁴ 2³
4) a³⁵ * a¹⁹ : (a⁵² * a²) = <u>a³⁵⁺¹⁹ </u>= <u>a⁵⁴</u> =1
a⁵²⁺² a⁵⁴
5) 0.2 * (-5)² - 3³ = 1/5 * 5² - 3³ = 5-27=-22
6) <u>(m³)⁵ (n⁴)³ </u>= <u>m³ * n¹² </u>= m³ n²
(m³)⁴ (n⁵)² n¹⁰
7) 3⁶ * 9⁻² * 5⁴ - 9*125*(1/5)⁻¹ =
=3⁶ * 3⁻⁴ * 5⁴ - 3² * 5³ * 5 =
=3² * 5⁴ - 3² * 5⁴ =0
<span>x^2=t
10) 4x^4-17x^2+4=0
4t^2-17t+4=0
t1=1/4 t2=4
x1=-1/2 x2=1/2 x3=2 x4=-2
11) 4x^4 -37x^2+9=0
4t^2-37t+9=0
D=1369-144
t1=1/4 t2=9
x1=1/2 x2=-1/2 x3-3 x4=-3
12) x^4-7x^2+12=0
t^2-7t+12=0
</span><span><span>t1=3 t2=4
x1=√3 x2=-√3 x3=-2 x4=2</span>13) x^4-11x^2+18=0
t^2-11t+18=0
t1=9 t2=2
x1=3 x2=-3 x3=√2 x4=-√2
14) x^4-5x^2+4=0
t^2-5t+4=0
t1=4 t2=1
x1=-2 x2=2 x3=1 x4=-1
15) x^4-7x^2+12=0
t^2-7t+12=0</span>
<span class="_wysihtml5-temp-placeholder"></span><span>t1=3 t2=4
x1=√3 x2=-√3 x3=-2 x4=2
16)
x^4-3x^2+2=0
t^2-3t+2=0
t1=2 t2=1
x1=√2 x2=-√2 x3=-1 x4=1
17) x^4-5x^2+6=0</span>
t^2-5t+6=0 t1=3 t2=2 x1=√2 t2=-√2 x3=√3 x4=-√3