z-2a+b=0, a-2b+c=0, b-2c+d=0, c-2d+e=0, e-2f+g=0, f-2g+h=0, g-2h+i=0, h-2i+j=0, 86.4(d-e)+0.82(f-e)=0, 3.5(80-z)+86.4(a-z)+0.000000034(510^4-((z+460)^4))=0
find a, b, c, d, e, f, g, h, i, j?
You asked:
Given \( z - 2 a + b = 0 \), \( a - 2 b + c = 0 \), \( b - 2 c + d = 0 \), \( c - 2 d + e = 0 \), \( e - 2 f + g = 0 \), \( f - 2 g + h = 0 \), \( g - 2 h + i = 0 \), \( h - 2 i + j = 0 \), \( 86.4 \left(d - e\right) + 0.82 \left(f - e\right) = 0 \), \( 3.5 \left(80 - z\right) + 86.4 \left(a - z\right) + 0.000000034 \left({510}^{4} - {\left( z + 460 \right)}^{4}\right) = 0 \), evaluate \( a \), \( b \), \( c \), \( d \), \( e \), \( f \), \( g \), \( h \), \( i \), \( j \).