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1. Solve the equation by completing the square: n²-2n-3=0

2. Using the quadratic formula: x²+5x-14=0.



Sagot :

Answer:

x=2 or x = — 7

Step-by-step explanation:

find two integers = —2+7=5

—2×7=14

rewrite in the middle term:

x² — 2x+7x—14=0

factor the first two terms in the last two terms respectively:x(x—2)+7(x—2)=0

extract the common factor:

(x—2)(x+7)=0

apply the zero product property that at least one factor is zero:

x—2=0 or x+7=0

rearrange terms on the left side of the equation:x—2

rearrange terms on the left side of the equation:x=—7

find the union of the solution:

x=2 or x=—7

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