9x214x229x15 12x5 27x3SolutionAnswer Consider the given equ

9x+2/14x^{^2}+29x-15 -1/2x+5 =2/7x-3

Answer :

Consider the given equation

9x + 2/14 x^{^2} + 29x - 15 - 1/2x + 5 = 2/7x - 3

9x + 1/7 x^{^2} + 29x - 10 -1/2x = 2/7x - 3

9x + 1/7 x^{^2} + 29x - 10 -1/2x - 2/7x + 3 = 0

1/7 x^{^2} + ( 9 + 29 - 1/2 - 2/7 )x - 7 = 0

1/7 x^{^2} + ( 251/14 )x - 7 = 0

Multiply by 14 on both sides we get

2x^{^2} + 251x - 98 = 0

now we solve this quadratic equation

x = ( - 251+/ sqrt( 251² -4(2)(-98) ) / 2(2)

x = ( - 251+/ sqrt( 63001+ 784 ) ) / 4

x = ( - 251+/ sqrt( 63785 ) ) / 4

by solving we get x₁ = 0.3892 and x₂ = - 125.8892