Solve the simultaneous equations 2x-y=3 and x2-xy=−4

Question

ScanSolve AI Tutor · Accepted Answer

Huu ni mlinganyo wa quadratic. Tutautatua kwa kutumia fomula ya quadratic $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ .

Tambua coefficients $a$ , $b$ , na $c$ kutoka kwa mlinganyo $2x^2 + x - 36 = 0$ .
Hapa, $a = 2$ , $b = 1$ , na $c = -36$ .
Badilisha maadili haya kwenye fomula ya quadratic.
$x = \frac{-1 \pm \sqrt{1^2 - 4(2)(-36)}}{2(2)}$
Rahisisha usemi ulio chini ya mzizi wa mraba.
$x = \frac{-1 \pm \sqrt{1 - (-288)}}{4}$ $x = \frac{-1 \pm \sqrt{1 + 288}}{4}$ $x = \frac{-1 \pm \sqrt{289}}{4}$
Kokotoa mzizi wa mraba.
Mzizi wa mraba wa 289 ni 17.
$x = \frac{-1 \pm 17}{4}$
Kokotoa maadili mawili yanayowezekana ya $x$ .
$x_1 = \frac{-1 + 17}{4} = \frac{16}{4} = 4$ $x_2 = \frac{-1 - 17}{4} = \frac{-18}{4} = -\frac{9}{2} = -4.5$
Kwa hivyo, maadili ya $x$ ni:
$x_1 = \boxed{4}$ $x_2 = \boxed{-4.5}$

Solve the simultaneous equations 2x−y=3 and x2-xy=-4