Solve left(1+xright)^2*1.5=17.34

$${ \left(1+x \right) }^{ 2 } \times 1.5=17.34$$

Solve for x

$$x=2.4$$

$$x=-4.4$$

Steps by Finding Square Root

Divide both sides of the equation by 1.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.5\left(x+1\right)^{2}}{1.5}=\frac{17.34}{1.5}$$

Dividing by 1.5 undoes the multiplication by 1.5.

$$\left(x+1\right)^{2}=\frac{17.34}{1.5}$$

Divide 17.34 by 1.5 by multiplying 17.34 by the reciprocal of 1.5.

$$\left(x+1\right)^{2}=11.56$$

Take the square root of both sides of the equation.

$$x+1=\frac{17}{5} x+1=-\frac{17}{5}$$

Subtract 1 from both sides of the equation.

$$x+1-1=\frac{17}{5}-1 x+1-1=-\frac{17}{5}-1$$

Subtracting 1 from itself leaves 0.

$$x=\frac{17}{5}-1 x=-\frac{17}{5}-1$$

Subtract 1 from \frac{17}{5}.

$$x=\frac{12}{5}$$

Subtract 1 from -\frac{17}{5}.

$$x=-\frac{22}{5}$$

The equation is now solved.

$$x=\frac{12}{5} x=-\frac{22}{5}$$