Math, asked by MohammedUmer, 8 months ago

Find a
if distance
between l(x,7)and M(1,15) is 10​

Answers

Answered by Anonymous
1

Answer:

√(x-1)²+(15-7)² = 10

√(x-1)²+36 = 10

√(x-1)²+36 = 0

√(x-1)²+36 = 10

squaring both sides

x²+1-2x+26 = 100

x²-2x-99 = 0

mark me as a brainlist....☺☺

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Answered by PanchalKanchan
2

LM = \\ \sf{\sqrt {{( x2 - x1 )}^{2} + {(y2 - y1)}^{2}}}

\\ \longrightarrow \sf{10 = \sqrt {{( 1 - x)}^{2} + {(15 - 7)}^{2}}}

\\ \longrightarrow \sf{10 = \sqrt {{( 1 - x)}^{2} + {(8)}^{2}}}

\\ \longrightarrow \sf{10 = \sqrt {{( 1 - x)}^{2} + 64}}

\\ \longrightarrow \sf{100 = {( 1 - x)}^{2} + 64}

\\ \longrightarrow \sf{100 - 64 = {( 1 - x)}^{2}}

\\ \longrightarrow \sf{36 = {( 1 - x)}^{2}}

Taking square root on both sides

\\ \longrightarrow \sf{\sqrt {36} = \sqrt {{( 1 - x)}^{2}}}

\\ \longrightarrow \sf{ +\:or\:- 6 =  1 - x }

\\ \longrightarrow \sf{ 1 - x = 6\: or 1 - x = -6 }

\\ \longrightarrow \sf{ - x = 6 - 1 \: or  \:- x = -6 - 1}

\\ \longrightarrow \sf{ - x = 5 \: or  \:- x = -7}

\\ \longrightarrow \sf{ x = -5 \: or \: x = 7}

hope it helps you

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