Tentukan persamaan kuadrat baru yang akar-akarnya ...

Tentukan persamaan kuadrat baru yang akar-akarnya sebagai berikut.

c. tiga kali akar persamaan $begin mathsize 14px style x squared plus 2 x minus 35 equals 0 end style$ .

$begin mathsize 14px style... end style$
$undefined$

Jawaban:

Diketahui:

Persamaan kuadrat $begin mathsize 14px style x squared plus 2 x minus 35 equals 0 end style$ adalah:

Penyelesaian:

$Error converting from MathML to accessible text.$

Akan dicari persamaan kuadrat baru yang akar-akarnya dua kali akar-akar persamaan $size 14px x to the power of size 14px 2 size 14px plus size 14px 2 size 14px x size 14px minus size 14px 35 size 14px equals size 14px 0$

$size 14px x subscript size 14px 1 size 14px equals size 14px minus size 14px 7 size 14px. size 14px 3 size 14px equals size 14px minus size 14px 21 size 14px space size 14px dan size 14px space size 14px x subscript size 14px 2 size 14px equals size 14px 5 size 14px. size 14px 3 size 14px equals size 14px 15 size 14px x subscript size 14px 1 size 14px equals size 14px minus size 14px 21 size 14px space size 14px dan size 14px space size 14px x subscript size 14px 2 size 14px equals size 14px 15$

Sehingga, diperoleh persamaan kuadrat baru:

$size 14px left parenthesis size 14px x size 14px minus size 14px x subscript size 14px 1 size 14px right parenthesis size 14px left parenthesis size 14px x size 14px minus size 14px x subscript size 14px 2 size 14px right parenthesis size 14px equals size 14px 0 size 14px left parenthesis size 14px x size 14px minus size 14px left parenthesis size 14px minus size 14px 21 size 14px right parenthesis size 14px right parenthesis size 14px left parenthesis size 14px x size 14px minus size 14px 15 size 14px right parenthesis size 14px right parenthesis size 14px equals size 14px 0 size 14px left parenthesis size 14px x size 14px plus size 14px 21 size 14px right parenthesis size 14px left parenthesis size 14px x size 14px minus size 14px 15 size 14px right parenthesis size 14px right parenthesis size 14px equals size 14px 0 size 14px x to the power of size 14px 2 size 14px minus size 14px 15 size 14px x size 14px plus size 14px 21 size 14px x size 14px minus size 14px 315 size 14px equals size 14px 0 size 14px x to the power of size 14px 2 size 14px plus size 14px 6 size 14px x size 14px minus size 14px 315 size 14px equals size 14px 0$

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