2x^2+17*+21=0-এর সমাধান করুন

$$2x ^ { 2 } +17 \times +21=0$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{714}i}{2}\approx -0-13.360389216i$$

$$x=\frac{\sqrt{714}i}{2}\approx 13.360389216i$$

Steps by Finding Square Root

Multiply 17 and 21 to get 357.

$$2x^{2}+357=0$$

Subtract 357 from both sides. Anything subtracted from zero gives its negation.

$$2x^{2}=-357$$

Divide both sides by 2.

$$x^{2}=-\frac{357}{2}$$

The equation is now solved.

$$x=\frac{\sqrt{714}i}{2} x=-\frac{\sqrt{714}i}{2}$$

Steps Using the Quadratic Formula

Multiply 17 and 21 to get 357.

$$2x^{2}+357=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 2 for a, 0 for b, and 357 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\times 357}}{2\times 2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 2\times 357}}{2\times 2}$$

Multiply -4 times 2.

$$x=\frac{0±\sqrt{-8\times 357}}{2\times 2}$$

Multiply -8 times 357.

$$x=\frac{0±\sqrt{-2856}}{2\times 2}$$

Take the square root of -2856.

$$x=\frac{0±2\sqrt{714}i}{2\times 2}$$

Multiply 2 times 2.

$$x=\frac{0±2\sqrt{714}i}{4}$$

Now solve the equation x=\frac{0±2\sqrt{714}i}{4} when ± is plus.

$$x=\frac{\sqrt{714}i}{2}$$

Now solve the equation x=\frac{0±2\sqrt{714}i}{4} when ± is minus.

$$x=-\frac{\sqrt{714}i}{2}$$

The equation is now solved.

$$x=\frac{\sqrt{714}i}{2} x=-\frac{\sqrt{714}i}{2}$$