Question

РЕШИТЕ КВАДРАТНОЕ УРАВНЕНИЕ 3p^2-10p+3=0
5v^2-9v-2=0
12z^2+5z-2=0
17s^2-19s+2=0

Answer 1

1) $3p^2-10p+3=0$

$3p^2-p-9p+3=0$

$p*(3p-1)-3(3p-1)=0$

$(3p-1)*(p-3)=0$

$3p-1=0$

$p-3=0$

p₁ =  $\frac{1}{3}$, p₂ = 3

2) $5v^2-9v-2=0$

$5v^2+v-10v-2=0$

$v*(5v+1)-2(5v+1)=0$

$(5v+1)*(v-2)=0$

$5v+1=0$

$v-2=0$

v₁ =  $-\frac{1}{5}$, v₂ = 2

3) $12z^2+5z-2=0$

$12z^2+8x-3z-2=0$

$4z*(3z+2)-(3z+2)=0$

$(3z+2)*(4z-1)=0$

$3z+2=0$

$4z-1=0$

z₁ =  $-\frac{2}{3}$ , z₂ = $\frac{1}{4}$

4) $17s^2-19s+2=0$

$17s^2-2s-17s+2=0$

$s*(17s-2)-(17s-2)=0$

$(17s-2)*(s-1)=0$

$17s-2=0$

$s-1=0$

s₁ = $\frac{2}{17}$, s₂ = 1