Solve 5×2 30x 65

5x^2 = -30x – 65

5x^2 + 30x + 65 = 0

5(x^2 + 6x + 13) = 0

x

= [-6 ± √(36 – 52)]/2

= -3 ± 2 i

5x^2 = -30x – 65

5x^2 + 30x + 65 = 0

5(x^2 + 6x + 13) = 0

x

= [-6 ± √(36 – 52)]/2

= -3 ± 2 i

Use the caret ^ (above the 6) to denote an exponent !

5x^2 = – 30x – 65

5x^2 + 30x + 65 = 0

common factor of 5…

5(x^2 + 6x + 13) = 0

the trinomial can NOT be factored with real, rational coefficients…use the quadratic formula…

You do know the quadratic formula, right ??

x = [- b ± √(b^2 – 4ac)] / 2a

a = 1

b = 6

c = 13

what do you get ? You have to TRY !!

[x = [- 6 ± √(36 – 52)] / 2 = [- 3 ± 2i]; the roots are complex conjugates ]

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