Question

xsquare +12upon 35x + 1upon 35​

Answer 1

Question:-

▼Factorize:-

➜x²+$\frac{12}{35}$x+$\frac{1}{35}$

$\rule{200}{1}$

AnsWer:-

✪x=$\frac{-1}{5}$

✪x=$\frac{-1}{7}$

$\rule{200}{1}$

Proof:-

•As p(x)=0

↝x²+$\frac{12}{35}$x+$\frac{1}{35}$=0

✪Multiply p(x) with 35✪

↝35×x²+$\frac{\cancel{35} \times 12}{\cancel{35}}$x+$\frac{\cancel{35} \times 1}{\cancel{35}}$=0

↝35x²+12x+1=0

➜S=12[Sum of Equation]

➜P=35[Product of Equation]

•7+5=12=S

•7×5=35=P

↝35x²+7x+5x+1=0

↝7x(5x+1)+1(5x+1)=0

$\rule{200}{1}$

☞7x+1=0

☞7x=-1

☞x=$\frac{-1}{7}$

$\rule{200}{1}$

☞5x+1=0

☞5x=-1

☞x=$\frac{-1}{5}$

$\rule{200}{2}$