x²-1...

Questions

AccioViolet @AccioViolet

September 2022 1 8 Report

Direction: Find the solution set of the following.

1.x(x+3)=28

2.x(x+6)=8(x+3)

3.(t+1)² + (t-8)²=45

4.(3r+1)² + (r+2)²=65

5.1/x-1 + 1/2=2/x²-1

Answers & Comments

$\huge\green { \overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

$\huge \mathbb \green{ANSWER:} \\ \\$

$\large \sf{1. \: \: x(x+3)=28} \\ \\$

$\tt{x²+3x=28} \\$
$\tt{x²+3x-28=0} \\$
$\tt{(x-4)(x+7)=0} \\$
$\boxed{ \texttt{x = 4,-7}}$

$> </p><p><img src=$

$\tt{x²+6x=8x+24} \\$
$\tt{x²+6x-8x-24=0} \\$
$\tt{x²-2x-24=0} \\$
$\boxed { \texttt{x = 6,-4}}$

$> </p><p><img src=$

$\tt{t²+(t-8)²=45} \\$
$\tt{t²+t²-16t+64=45} \\$
$\tt{2t²-16t+64-45=0} \\$
$\tt{2t²-16t+19=0} \\$
$\tt{t = \frac{16 + 2 \sqrt{26} }{4} , \frac{16 - 2 \sqrt{26} }{4} } \\$

$> </p><ul><li><img src=$

$\\ \\ \large \sf{4. \: \: (3r+1)² + (r+2)²=65} \\ \\$

$\tt{9r²+6r+1+r²+4r+4=65} \\$
$\tt{10r²+10r+5=65} \\$
$\tt{10r²+10r+5-65=0} \\$
$\tt{10r²+10r-69=0} \\$
$\tt{10(r²+r-6)=0} \\$
$\tt{10(r-2)(r+3)=0} \\$
$\boxed{ \texttt{r = 2,-3}}$

$\\ \\ \large \sf{5. \: \: } \frac{1}{x} - 1 + \frac{1}{2} = \frac{2}{ {x}^{2} } - 1 \\ \\$

$\tt{ \frac{1}{x} + \frac{1}{2} = \frac{2}{ {x}^{2} } } \\$
$\tt{2x + {x}^{2} = 4 } \\$
$\tt{2x + {x}^{2} - 4 = 0 } \\$
$\tt{x = \frac{ - 2 + 2 \sqrt{5} }{2} , \frac{ - 2 - 2 \sqrt{5} }{2} } \\$

$> </p><ul><li><img src=$

$\huge\green { \overline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

AccioViolet Thank you pooo talagaa

kyreneencilla wc po..ung 5. kopa mali ah

kyreneencilla diko masyadong sure sagot dun eh

AccioViolet okk lang po! nakakatulong na talaga yung answer mo

kyreneencilla :) wish nalamg natin na correct yan

AccioViolet atee pwede po ba may last akong ipasagot sayo?

ayeshaealwan45 Tysm

ayeshaealwan45 just so much

jenzhiegwensiena ty po

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