Math, asked by japleenkaur30, 10 months ago

4x^2+1204x_48528=0
solve the equation plzz.​

Answers

Answered by varadad25
17

\large\boxed{\fcolorbox{blue}{yellow} {Answer}}

The roots of the given quadratic equation are

x =  - 137 \:  \: or \:  \: x = 36

\large\boxed{\fcolorbox{blue}{yellow} {Step - by - step explanation }}

Given equation is

4 {x}^{2}  + 1204x - 48528 = 0

Now,

4 {x}^{2}  + 1204x - 48528 = 0 \\  \\  {x}^{2}  + 301x - 12132 = 0 \:  \:  \: ....(dividing \: by \: 4) \\  \\  {x}^{2}  + 337x - 36x - 12132 = 0 \\  \\  x(x + 337) \:  - 36(x + 337) \:  = 0 \\  \\ (x + 337) \: (x - 36) \:  = 0 \\  \\ now \\ (x + 137) = 0 \\ x + 137 = 0 \\  \\ x =  - 137 \\  \\ or \\  \\ (x - 36) = 0 \\  \\ x = 36

Hope it helps!

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Answered by Cosmique
20

WE HAVE,

4x^{2} +1204x-48528 = 0\\\\(dividing by 4 both sides; we will get )\\\\x^{2} + 301x - 12132=0\\\\x^{2} +x(337-36)-12132=0\\\\x^{2} +337x - 36x - 12132 =0 \\\\x ( x + 337 ) -36 ( x + 337 ) =0 \\\\(x-36)(x+337)=0\\\\x = 36 or x = -337

SO TWO ZEROES OF EQN ARE 36 AND -337.

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