Posted by **Jimmy** on Wednesday, January 10, 2007 at 5:45pm.

solve 2x^2+3x+8=0 and express the solutions in a+bi form.

Let's use the quadratic formula to solve for x and express those solutions in a+bi form.

x = [-b + or - sqrt(b^2 - 4ac)]/2a

Note: sqrt = square root.

a = 2, b = 3, and c = 8 from your problem.

Therefore:

x = [-3 + or - sqrt(3^2 - 4*2*8)]/2*2

x = [-3 + or - sqrt(-55)]4

x = [-3 + or - i sqrt(55)]/4

Solutions:

x = [-3 + i sqrt(55)]/4 = -3/4 + [sqrt(55)/4]i

x = [-3 - i sqrt(55)]/4 = -3/4 - [sqrt(55)/4]i

I hope this will help.

## Answer This Question

## Related Questions

- Math - Use the quadratic formula to solve each of the following quadratic ...
- math - 15t^2+7t=2 The quadratic formula tells you that the solutions are: t = [-...
- Math - Solve the given quadratic equation exactly using the quadratic formula. ...
- Math - Solve the given quadratic equation exactly using the quadratic formula. ...
- math - use the quadratic formula to solve this equation. 4x^2-8x+3=5 use the ...
- Algebra2 - Find the polynomials roots to each of the following problems: #1) x^2...
- algebra 2 - Would some one look at these problems and see if I got them right ...
- precalculus - Solve the logarithmic equation. Express your solutions in exact ...
- Calculus - Second Order Differential Equations - Solve the initial-value problem...
- maths - 1a) Solve the each of these equations by factorising the left hand side ...

More Related Questions