Page 143 - Grade 10 C.Math

cyjf, x + 30x – 8x – 240 = 0
2
cyjf, x(x + 30) – 8(x + 30) = 0

cyjf, (x + 30) (x – 8) = 0

cyjf, x + 30 = 0 jf x – 8 = 0
Curriculum Development Centre
cyjf, x = –30, 8

pd]/ wgfTds dfq x'g] x'gfn] x = 8 dfq lng ;lsG5 .

ctM 8 jif{kl5 b'j}sf] pd]/sf] u'0fg kmn 360 x'G5 .

pbfx/0f 5

Pp6f ;dsf]0fL lqe'hsf] s0f{ 5 ld6/ 5 . olb afFsL b'O{ e'hfx¿sf] gfksf] km/s 1 ld6/ eP
k|To]s e'hfsf] nDafO slt x'G5 < kTtf nufpg'xf];\ .

;dfwfg
dfgf}F ABC = 90°
A
AC = 5 ld6/, AB = x / BC = x + 1

kfOyfuf]/; ;fWocg';f/

5 = x + (x + 1) 2
2
2
2
cyjf, 25 = x + x + 2x +1
2
B C
cyjf, 2x + 2x – 24 = 0
2
2
cyjf, x + x – 12 = 0
cyjf, x + 4x – 3x – 12 = 0
2
cyjf, x(x + 4) –3(x + 4) = 0

cyjf, x + 4 = 0 jf x – 3 = 0
cyjf, x = –4, x = 3

x sf] dfg 3 lnFbf x + 1 = 3 + 1 = 4 x'G5 .

To;}n] afFsL e'hfx¿sf] nDafO j|mdzM 3 ld= / 4 ld= x'G5 .

140 ul0ft, sIff – 10