Answer:
-3 + 4sqrt(2)
-3 - 4sqrt(2)
Step-by-step explanation:
(x – 4)(x + 10) = -17
FOIL on the left hand side (First outer inner last)
x^2 +10x-4x-40 = -17
x^2 +6x-40 =-17
Add 17 to each side
x^2 +6x-40+17 =-17+17
x^2 +6x -23 = 0
Using the quadratic formula
-b + - sqrt(b^2 -4ac)
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2a
where ax^2 +bx+c=0
-6 + - sqrt(6^2 -4*1*-23)
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2*1
-6 + - sqrt(36 +92)
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2
-6 + - sqrt(128)
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2
-6 + - 8sqrt(2)
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2
Divide top and bottom by 2
-3 + - 4sqrt(2)
