Question

Solve by using Quadratic Formula5u^2 + 7u-2=0

Answer 1

0.24 and -1.64

Explanation:

We have the following equation:

`5u^2+7u-2=0`

The formula for solving quadratic equations is as follows:

`x_(1,\:2)=(-b\pm √(b^2-4ac))/(2a)`

In this case:

a = 5

b = 7

c = -2

We substitute these values and calculate the solution of the equation:

`\begin{gathered} u_(1,\:2)=(-7\pm √(7^2-4\cdot \:5\left(-2\right)))/(2\cdot \:5) \\ \\ u_(1,\:2)=(-7\pm√(89))/(10) \\ \\ u_1=(-7+√(89))/(10)=0.24 \\ \\ u_2=(-7-√(89))/(10)=-1.64 \end{gathered}`

The solutions of the equation are u = 0.24 and -1.64