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Mathematics
Steve Herrera
9 January, 05:30
1) p + 14 p - 38 = 0
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Rhianna King
9 January, 05:49
0
Add 38 to both sides of the equation.
p2+14p=38
To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of b.
(b/2) 2 = (7) ^2
Add the term to each side of the equation.
p^2 + 14p + (7) 2=38 + (7) 2
Simplify the equation.
p^2 + 14p + 49 = 87
Factor the perfect trinomial square into (p+7) ^2
(p+7) 2=87
Solve the equation for p.
p = ± √87 - 7
Take the square root of each side of the equation to set up the solution for
p:
(p+7) 2 ⋅ 12 = ±√87
Remove the perfect root factor p + 7 under the radical to solve for p.
p + 7 = ±√87
Subtract
7
from both sides of the equation.
p = ±√87 - 7
Exact Form:
p = ±√87 - 7
Decimal Form:
p = 2.32737905
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