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If x+y+z=4 and x²+y²+z²=10 find the value of xy+yz+zxClass 9 Maths polynomial |
| Answer» GIVEN,X+y+z=4 and x 2 +y 2 +z 2 =50We know,(a+b+C) 2 =(a 2 +b 2 +c 2 )+2(ab+bc+ca)Here,a=x,b=y,c=−zThus,(x+y−z) 2 =x 2 +y 2 +z 2 +2(xy−yz−xz)=>4 2 =50+2(xy−yz−xz)=> 216−50 =(xy−yz−xz)=>(xy−yz−xz)=−17 | |