မည်သည့် သင်္ချာပြဿနာကိုမဆိုဖြေရှင်းပါ
Equations, derivatives, integrals, matrixes, triangles, primes, statistics, oraword problem the tutor breaks into parts.
ခြေလှမ်းတစ်လှမ်း
- x^{2} - 2 = 0
Start from the equation as given.
- a = 1,\quad b = 0,\quad c = -2
Read off the coefficients of the standard form ax² + bx + c = 0.
- \Delta = b^2 - 4ac = (0)^2 - 4(1)(-2) = 8
It does not factor nicely, so use the discriminant Δ = b² − 4ac.
- x = \frac{-b \pm \sqrt{\Delta}}{2a} = \frac{0 \pm \sqrt{8}}{2}
Δ > 0, so there are two distinct real roots. Substitute into the quadratic formula.
- x = \sqrt{2} \approx 1.4142 \quad\text{or}\quad x = - \sqrt{2} \approx -1.4142
Simplify each root.
အဖြေကို ဖော်ပြပါ
x = \sqrt{2} \quad\text{or}\quad x = - \sqrt{2}