Math, asked by naveenbrainly, 1 year ago

If 2l - 3m = -1 and lm = 20, then the value of
4l^2 + 9m^2 is

Answers

Answered by Penchalaprasad
2
4l^2+9m^2=241
answer is 241
Attachments:

naveenbrainly: how 12lm came
naveenbrainly: please say
Penchalaprasad: 2l-3m)^2=4l^2+9m^2-2*2l*3m
naveenbrainly: ok but how -12lm came
naveenbrainly: how minus came for the 12
Penchalaprasad: 2*2L*3m=12Lm
Penchalaprasad: (a-b)^2 =a^2+b^2-2ab
Answered by TPS
2
2l - 3m = -1

(2l - 3m)^2 = -1^2

(2l)^2 + (3m)^2 - 2× 2l × 3m = 1

4l^2 + 9m^2 - 12lm = 1

4l^2 + 9m^2 - 12×20 = 1

4l^2 + 9m^2 = 240+1

4l^2 + 9m^2 = 241

naveenbrainly: how 12lm came
TPS: see now
TPS: it is (a-b)^2 formula....understood?
TPS: see the answer now
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