Solve 2x2 + 20x = −38.
a. −5 ± square root 14
b.−5 ± square root 51
c. −5 ±square root 6
d.−5 ± square root 13

2x^2+20x=-38  divide both sides by 2

x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...

x^2+10x+25=6  now the left side is a perfect square

(x+5)^2=6  take the square root of both sides

x+5=±√6  subtract 5 from both sides

x=-5±√6    (so answer c.)

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Step-by-step explanation: