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The distance between the points (2, -3) and
(5, a) is 5 units. Then a
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Step-by-step explanation:
distance between the points (2, -3) and(5, a)=5
root((5-2)^2+(a+3)^2=5
root(9+a^2+9+6a)=5
root(a^2+6a+18)=5
squaring on both sides
a^2+6a+18=5^2
a^2+6a+18=25
a^2+6a-7=0
a^2+7a-a-7=0
a(a+7)-1(a+7)=0
(a+7)(a-1)=0
a+7=0 ,a-1=0
a= -7 , a=1
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