Réitigh 16y^2+15y-16

$$16 y ^ { 2 } + 15 y - 16$$

Fachtóirigh

$$16\left(y-\frac{-\sqrt{1249}-15}{32}\right)\left(y-\frac{\sqrt{1249}-15}{32}\right)$$

Céimeanna ag Baint Úsáid as an bhFoirmle Chearnach

Is féidir an trasfhoirmiú ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) a úsáid chun luach iltéarmach cearnach a fhachtóiriú, nuair is réitigh iad x_{1} agus x_{2} ar an gcothromóid chearnach ax^{2}+bx+c=0.

$$16y^{2}+15y-16=0$$

Is féidir gach cothromóid san fhoirm ax^{2}+bx+c=0 a réiteach ag baint úsáid as an bhfoirmle chearnach : \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Tugann an fhoirmle chearnach dhá réiteach, ceann amháin nuair is suimiú é ± agus ceann eile nuair is dealú é.

$$y=\frac{-15±\sqrt{15^{2}-4\times 16\left(-16\right)}}{2\times 16}$$

Cearnóg 15.

$$y=\frac{-15±\sqrt{225-4\times 16\left(-16\right)}}{2\times 16}$$

Méadaigh -4 faoi 16.

$$y=\frac{-15±\sqrt{225-64\left(-16\right)}}{2\times 16}$$

Méadaigh -64 faoi -16.

$$y=\frac{-15±\sqrt{225+1024}}{2\times 16}$$

Suimigh 225 le 1024?

$$y=\frac{-15±\sqrt{1249}}{2\times 16}$$

Méadaigh 2 faoi 16.

$$y=\frac{-15±\sqrt{1249}}{32}$$

Réitigh an chothromóid y=\frac{-15±\sqrt{1249}}{32} nuair is ionann ± agus plus. Suimigh -15 le \sqrt{1249}?

$$y=\frac{\sqrt{1249}-15}{32}$$

Réitigh an chothromóid y=\frac{-15±\sqrt{1249}}{32} nuair is ionann ± agus míneas. Dealaigh \sqrt{1249} ó -15.

$$y=\frac{-\sqrt{1249}-15}{32}$$

Úsáid ax^{2}+bx+c=a\left(x-x_{1}\right)\left(x-x_{2}\right) chun an slonn bunaidh a fhachtóiriú. Cuir \frac{-15+\sqrt{1249}}{32} in ionad x_{1} agus \frac{-15-\sqrt{1249}}{32} in ionad x_{2}.

$$16y^{2}+15y-16=16\left(y-\frac{\sqrt{1249}-15}{32}\right)\left(y-\frac{-\sqrt{1249}-15}{32}\right)$$

Luacháil

$$16y^{2}+15y-16$$