#39 – Quiz (+50)

By Admin ReiPosted on October 29, 2022

mau kayak dilaaulia25

Tentukan nilai x yg memenuhi pers
$displaystylesf frac{x^2+32}{4}=frac{9x}{2}$

#39 – Quiz (+50)

$boxed{tt{KNOWN:}}$

$mathbf{frac{x^{2}+32}{4}=frac{9x}{2}}$

$boxed{tt{PROBLEM:}}$

Tentukan nilai x yg memenuhi pers

$boxed{tt{SOLUTION:}}$

$mathbf{frac{x^{2}+32}{4}=frac{9x}{2}}$

$mathbf{2left(x^{2}+32right)=4left(9xright)}$

$mathbf{2x^{2}+64=36x}$

$mathbf{2x^{2}-36x+64=0}$

$tt{.simplify}$

$mathbf{x^{2}-18x+32=0}$

$mathbf{left(x-16right)left(x-2right)=0}$

$mathbf{x_{1}=16 and x_{2}=2}$

$boxed{tt{CONCLUSION:}}$

nilai x yg memenuhi pers ialah :

$largeboxed{boxed{mathbf{x_{1}=16}} tt{and} boxed{mathbf{x_{2}=2}}}$

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MATEMATIKA

SINOGEN

$hugecolorbox{black}{color{magenta}{boxed{pink{mathscr{☯ : Sinogen : ☯}}}}}$

$frac{x {}^{2} + 32}{4} = frac{9x}{2}$

$2(x {}^{2} + 32) = 36x$

$x {}^{2} + 32 = 18x$

$x {}^{2} + 32 - 18x = 0$

$x {}^{2} - 18x + 32 = 0$

$x {}^{2} - 2x - 16x + 32 = 0$

$x(x - 2) - 16(x - 2) = 0$

$(x - 2) times (x - 16) = 0$

$x - 2 = 0$

$x - 16 = 0$

$x = 2$

$x = 16$

$x1 = : 2 : . : x2 = 16$