Solving the quadratic equation, x = [-(-123) ± √((-123)^2 - 44(-38270))]/2*4 x = [123 ± √(15129 + 613120)]/8 x = [123 ± √(628249)]/8 x = [123 ± 791]/8 or x = [123 ∓ 791]/8 x = (123 + 791)/8 or x = (123 - 791)/8 x = 914/8 or x = -668/8 x = 114.25 or x = -83.5
4) 16x/4 = 805/23 4x = 805*4/23 4x = 140 x = 140/4 x = 35
Therefore, the solutions are: y = 32 x ≈ 71.61353 x ≈ 114.25 or x ≈ -83.5 x = 35
Let's solve these equations step by step:
1) 64 + y = 12 * 8
64 + y = 96
y = 96 - 64
y = 32
2) 72 - x = 663:1719
72 - x = 0.38647
x = 72 - 0.38647
x ≈ 71.61353
3) 152 + 38270/x = 29 + 16x/4
152 + 38270/x = 29 + 4x
152x + 38270 = 29x + 4x^2
4x^2 - 123x - 38270 = 0
Solving the quadratic equation,
x = [-(-123) ± √((-123)^2 - 44(-38270))]/2*4
x = [123 ± √(15129 + 613120)]/8
x = [123 ± √(628249)]/8
x = [123 ± 791]/8 or x = [123 ∓ 791]/8
x = (123 + 791)/8 or x = (123 - 791)/8
x = 914/8 or x = -668/8
x = 114.25 or x = -83.5
4) 16x/4 = 805/23
4x = 805*4/23
4x = 140
x = 140/4
x = 35
Therefore, the solutions are:
y = 32
x ≈ 71.61353
x ≈ 114.25 or x ≈ -83.5
x = 35