Solve 3.251x*1.254x=1.143

$$3.251x \times 1.254x=1.143$$

Solve for x

$$x=\frac{10\sqrt{1294369395}}{679459}\approx 0.529499875$$

$$x=-\frac{10\sqrt{1294369395}}{679459}\approx -0.529499875$$

Steps by Finding Square Root

Multiply x and x to get x^{2}.

$$3.251x^{2}\times 1.254=1.143$$

Multiply 3.251 and 1.254 to get 4.076754.

$$4.076754x^{2}=1.143$$

Divide both sides by 4.076754.

$$x^{2}=\frac{1.143}{4.076754}$$

Expand \frac{1.143}{4.076754} by multiplying both numerator and the denominator by 1000000.

$$x^{2}=\frac{1143000}{4076754}$$

Reduce the fraction \frac{1143000}{4076754} to lowest terms by extracting and canceling out 6.

$$x^{2}=\frac{190500}{679459}$$

Take the square root of both sides of the equation.

$$x=\frac{10\sqrt{1294369395}}{679459} x=-\frac{10\sqrt{1294369395}}{679459}$$

Steps Using the Quadratic Formula

Multiply x and x to get x^{2}.

$$3.251x^{2}\times 1.254=1.143$$

Multiply 3.251 and 1.254 to get 4.076754.

$$4.076754x^{2}=1.143$$

Subtract 1.143 from both sides.

$$4.076754x^{2}-1.143=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 4.076754 for a, 0 for b, and -1.143 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 4.076754\left(-1.143\right)}}{2\times 4.076754}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 4.076754\left(-1.143\right)}}{2\times 4.076754}$$

Multiply -4 times 4.076754.

$$x=\frac{0±\sqrt{-16.307016\left(-1.143\right)}}{2\times 4.076754}$$

Multiply -16.307016 times -1.143 by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.

$$x=\frac{0±\sqrt{18.638919288}}{2\times 4.076754}$$

Take the square root of 18.638919288.

$$x=\frac{0±\frac{3\sqrt{1294369395}}{25000}}{2\times 4.076754}$$

Multiply 2 times 4.076754.

$$x=\frac{0±\frac{3\sqrt{1294369395}}{25000}}{8.153508}$$

Now solve the equation x=\frac{0±\frac{3\sqrt{1294369395}}{25000}}{8.153508} when ± is plus.

$$x=\frac{10\sqrt{1294369395}}{679459}$$

Now solve the equation x=\frac{0±\frac{3\sqrt{1294369395}}{25000}}{8.153508} when ± is minus.

$$x=-\frac{10\sqrt{1294369395}}{679459}$$

The equation is now solved.

$$x=\frac{10\sqrt{1294369395}}{679459} x=-\frac{10\sqrt{1294369395}}{679459}$$