Math, asked by PshychoISHU, 3 months ago

(x-7)(x-9) = 195 find value of x full equation . answer is x = -6,22

Answers

Answered by ᏟrєєpyᎷєss

$\sf{:\implies (x-7)(x-9)=195}$

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$\sf{:\implies x^{2}-16x+63=195}$

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$\sf{:\implies x^{2}-16x+63-195=0}$

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$\sf{:\implies x^{2}-16x-132=0}$

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$\sf{:\implies x^{2}-(22-6)x-132=0}$

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$\sf{:\implies x^{2}-22x+6x-132=0}$

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$\sf{:\implies x(x-22)+6(x-22)=0}$

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$\sf{:\implies (x-22)(x+6)=0}$

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.°. x - 22 = 0

x = 22

x + 6 =0

.°. x = -6

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