Solve x=(4.4627*10^-6)y^2+1.1517y-13461

$$x=(4.4627 \times { 10 }^{ -6 } ) { y }^{ 2 } +1.1517y-13461$$

Solve for x

$$x=\frac{44627y^{2}}{10000000000}+\frac{11517y}{10000}-13461$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$x=4.4627\times \frac{1}{1000000}y^{2}+1.1517y-13461$$

Multiply 4.4627 and \frac{1}{1000000} to get \frac{44627}{10000000000}.

$$x=\frac{44627}{10000000000}y^{2}+1.1517y-13461$$

Solve for y (complex solution)

$$y=\frac{100000\sqrt{44627x+3916756272}}{44627}-\frac{523500000}{4057}$$

$$y=-\frac{100000\sqrt{44627x+3916756272}}{44627}-\frac{523500000}{4057}$$

Solve for y

$$y=\frac{100000\sqrt{44627x+3916756272}}{44627}-\frac{523500000}{4057}$$

$$y=-\frac{100000\sqrt{44627x+3916756272}}{44627}-\frac{523500000}{4057}\text{, }x\geq -\frac{356068752}{4057}$$