Question

Solve this quadratic equation using the quadratic formula. 5 - 10x - 3x2 = 0

Answer 1

The procedure is in the photo, good luck!

Answer 2

Since, by the quadratic formula,

The solution of a quadratic equation
`ax^2+bx+c=0` is,

`x=(-b\pm √(b^2-4ac))/(2a)`

Here, the given quadratic equation,

`5-10x-3x^2=0`

`-3x^2-10x+5=0`

By the above formula,

`x=(-(-10)\pm √((-10)^2-4* -3* 5))/(2* -3)`

`=(10\pm √(100+60))/(-6)`

`=(10\pm √(160))/(-6)`

`=(5\pm 2√(10))/(-3)`

`\implies x=-(5+2√(10))/(3)\text{ or }x=-(5-2√(10))/(3)`