построим систему 2 функций
y=√x
y=3-2x
ответ x=1
график: https://umath.ru/calc/graph/?&func=sqrt(x);3-2x;
При а=0, т.к. получится 18+2*(0)^(x), а это выражение не имеет смысла
<span>1. y'=(x^5-2,5x</span>²<span>+3)'=5x^4-5x;
5x^4-5x=0;
5x(x</span>³-1)=0;
<span>x=0, x=1.
f(0)=0^5-2,5*0</span>²+3=3;
<span>f(1)=1^5-2,5*1</span>²+3=1-2,5+3=1,5.<span>
2. y'=(0,2x^5-4x^2-3)'=x^4-8x;
x^4-8x=0;
x(x</span>³-8)=0;
x-0, x=2.
f(0)=0,2*0^5-4*0²-3=-3;
f(2)=0,2*2^5-4*2²-3=-12,6.
4<span>√3x-<span>√4*3x-<span>√25*3x= 4<span>√3x-2<span>√3x-10<span>√3x=-8<span>√3x</span></span></span></span></span></span></span>
<span><span><span><span><span><span><span>3<span>√4*3+2<span>√3-2<span>√9*3=3*2<span>√3+2<span>√3-2*3<span>√3=6<span>√2+2<span>√3-6<span>√3=2<span>√3</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span>
<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>(<span>√4*2-<span>√4*6)*<span>√2=(2<span>√2-2<span>√6)*<span>√2=2*2-2<span>√6*2=4-2<span>√12=4-4<span>√3</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span>
<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>√18*3-<span>√8*3+<span>√50*3=<span>√9*2*3-4<span>√3+<span>√25*2*3=3<span>√6-4<span>√3+5<span>√6=8<span>√6-4<span>√3</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span>
<span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span><span>√16*3-2<span>√3(2-5<span>√3*4)=4<span>√3-2<span>√3(2-10<span>√3)=4<span>√3-4<span>√3+20*3=60</span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span></span>