Issolvi {l}{f(x)=-x^2+3x+5}{x=-5/3}

$$\left. \begin{array} { l } { f ( x ) = - x ^ { 2 } + 3 x + 5 } \\ { x = - \frac { 5 } { 3 } } \end{array} \right.$$

Solvi għal f, x

$$x = -\frac{5}{3} = -1\frac{2}{3} \approx -1.666666667$$

$$f = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Passi tas-Soluzzjonijiet

Ikkunsidra l-ewwel ekwazzjoni. Inserixxi l-valuri magħrufa tal-varjabbli fl-ekwazzjoni.

$$f\left(-\frac{5}{3}\right)=-\left(-\frac{5}{3}\right)^{2}+3\left(-\frac{5}{3}\right)+5$$

Ikkalkula -\frac{5}{3} bil-power ta' 2 u tikseb \frac{25}{9}.

$$f\left(-\frac{5}{3}\right)=-\frac{25}{9}+3\left(-\frac{5}{3}\right)+5$$

Immultiplika 3 u -\frac{5}{3} biex tikseb -5.

$$f\left(-\frac{5}{3}\right)=-\frac{25}{9}-5+5$$

Naqqas 5 minn -\frac{25}{9} biex tikseb -\frac{70}{9}.

$$f\left(-\frac{5}{3}\right)=-\frac{70}{9}+5$$

Żid -\frac{70}{9} u 5 biex tikseb -\frac{25}{9}.

$$f\left(-\frac{5}{3}\right)=-\frac{25}{9}$$

Immultiplika ż-żewġ naħat b'-\frac{3}{5}, ir-reċiproku ta' -\frac{5}{3}.

$$f=-\frac{25}{9}\left(-\frac{3}{5}\right)$$

Immultiplika -\frac{25}{9} u -\frac{3}{5} biex tikseb \frac{5}{3}.

$$f=\frac{5}{3}$$

Is-sistema issa solvuta.

$$f=\frac{5}{3} x=-\frac{5}{3}$$