Question

5. Find x, if distance between L(x, 7) and M(1, 15) is 10.​

Answer 1

Answer:

Distance between LM=10

$\sqrt{LM= (x−1)²+(7−15) ^{2} = } 10$

$\sqrt{(x−1)² +(−8)² =} 10$

Squaring both sides

(x−1)² +64=100

⇒x² −2x+1+64=100

⇒x²−2x−35=0

⇒x(x−7)+5(x−7)=0

⇒(x+5)(x−7)=0

⇒x=−5,7