$\bar{1} $ $0m$ $1$ $0n$ $v$ $m-11$ $1$ $1$ 1 $v$ $2^{\right)}$ $4.$ Reduce the quadratic form $Q=3x^{2}+5y^{2}+3x^{2}-2xy-2yz+2xz$ to canonical form and hence find its nature, rank, index and signature. $5$ Reduce the quadratic form $0-x$ $2+2\times 2$ to canonical form and bence find its nature

$=16a^{2+4b^{2}}$ $+9c$ $-$ $1$ $10\left(db\right)$ $4$ $∠$ $2$ Factorise $4x^{2}+y^{2}+z^{2}$ $-$ $4xy$ $-$ $2y^{1z}$ $+4xz$ e have $4x^{2}+y^{2}+x^{2}-$ $A\times y$ $-$ 2vz $+4xz=\left(2x\right)^{2}$

If the sum of two consecutive numbers is $45$ and one number is $X$ .This statement in the form of equation $1s:$ $\left(1$ Point) $\right)$ $○5x+1$ $1eft\left(x+1$ $r1gnt\right)=45s$ $○sx+1ef\left(x+2$ $r1gnt\right)=145s$ $sx+1x=45s$