Question

Solve the following new equation

Answer 1

x = 1.54 or x = - 4.54 to 2 decimal places

Explanation:

x² + 3x - 7 = 0

Using the quadratic formula

a = 1 b = 3 c = - 7

`x = \frac{3 ± \sqrt{ {3}^(2) - 4(1)( - 7) } }{2(1)} \\ x = ( - 3± √(9 + 28) )/(2) \\ \\ x = ( -3 ± √(37) )/(2) \\ \\ x = ( - 3 + √(37) )/(2) \: \: \: \: \: or \: \: \: x = ( - 3 - √(37) )/(2) \\ \\ x = 1.54 \: \: \: or \: \: x = - 4.54`

Hope this helps you