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1.) (k+1)(k−5)=0
k(k-5)+1(k-5)=0
k²-5k+1(k-5)=0
k²-5k+k-5=0
k²-4k-5=0
k=5 or k=-1
2.) (a+1)(a+2)=0
a(a+2)+1(a+2)=0
a²+2a+1(a+2)=0
a²+2a+a+2=0
a²+3a+2=0
a=−1 or a=−2
3.) (4k+5)(k+1)=0
4k(k+1)+5(k+1)=0
4k²+4k+5(k+1)=0
4k²+4k+5k+5=0
4k²+9k+5=0
k=−1 or k= -5/4
4.) (2m+3)(4m+3)=0
2m(4m+3)+3(4m+3)=0
8m²+6m+3(4m+3)=0
8m²+6m+12m+9=0
m= - 3/4 or m= - 3/2
5.) (3x-4)(x-2)=0
3x(x-2)-4(x-2)=0
3x²-6x-4(x-2)=0
3x²-6x-4(x-8)=0
3x²-10x+8=0
x=2 or x=4/3
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Answers & Comments
Solve the following quadratic equations by factoring
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Solution no. 1:
Answer:
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Solution no. 2:
Answer:
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Solution no. 3:
Answer:
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Solution no. 4:
Answer:
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Solution no. 5:
Answer:
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#CarryOnLearning
ANSWER:
1.) (k+1)(k−5)=0
k(k-5)+1(k-5)=0
k²-5k+1(k-5)=0
k²-5k+k-5=0
k²-4k-5=0
k=5 or k=-1
2.) (a+1)(a+2)=0
a(a+2)+1(a+2)=0
a²+2a+1(a+2)=0
a²+2a+a+2=0
a²+3a+2=0
a=−1 or a=−2
3.) (4k+5)(k+1)=0
4k(k+1)+5(k+1)=0
4k²+4k+5(k+1)=0
4k²+4k+5k+5=0
4k²+9k+5=0
k=−1 or k= -5/4
4.) (2m+3)(4m+3)=0
2m(4m+3)+3(4m+3)=0
8m²+6m+3(4m+3)=0
8m²+6m+12m+9=0
m= - 3/4 or m= - 3/2
5.) (3x-4)(x-2)=0
3x(x-2)-4(x-2)=0
3x²-6x-4(x-2)=0
3x²-6x-4(x-8)=0
3x²-10x+8=0
x=2 or x=4/3