Question

Solve for x
8x(52-x)=81x-32x²​

Answer 1

let start here we go

8x(52-x)=81x-32x²

step 1 :- in left hand side multiply the 8x to bracket

8x(52-x)=81x -32x²

416x - 8x² = 81x -32²

step 2 :- let the value of left hand side will put in right hand side i.e

0= 8x²- 416x + 81x -32²

0=8x² - 335x - 1024. (1024 come form {32²} 1024 is squre of 32)

8x2−335x−1024=0

Step 1: Use quadratic formula with a=8, b=-335, c=-1024.

x=

−b±√b2−4ac

2a

x=

−(−335)±√(−335)2−4(8)(−1024)

2(8)

x=

335±√144993

16

x=

335

16

+

1

16

√144993 or x=

335

16

+

−1

16

√144993

Answer:

x=

335

16

+

1

16

√144993 or x=

335

16

+

−1

16

√144993