Z5 − z+2 2z+4 =−3 space, startfraction, 5, divided by, z, end fraction, minus, start fraction, 2, z, plus, 4, divided by, z, plus, 2, end fraction, equals, minus, 3 what is the sum of all the possible values for zzz that satisfy the equation above

The sum of all the possible values for z that satisfy the above equation is -5.

Step-by-step explanation:

The given equation is

We need to find the sum of all the possible values for z that satisfy the above equation.

The given equation can be rewritten as

Cancel out common factors.

Add 2 on both sides.

Multiply both sides by -1.

Only z=-5 satisfy the given equation.

Therefore the sum of all the possible values for z that satisfy the above equation is -5.

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629