Question

Solve for x: -5x^2+6=0

Answer 1

x= square root of 6/5

Explanation:

-5x^2+6=0

-5x*2=-6

5x^2=6

5x=square root of 6

x= square root of 6/5

Answer 2

`(√(30))/(5), -(√(30))/(5)`

Explanation:

We have the equation
`-5x^2 + 6 = 0`

Since we know that any number multiplied by 0 is 0, we can safely make the term
`0x` to add to this.

So our equation now is
`-5x^2 + 0x + 6`

We can now solve for this using the quadratic formula, which is
`\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}`.

b is the coefficient on the x term, a is the coefficient on the
`x^2` term, and c is the constant.

Let's substitute inside the equation, since we know
`a = -5`,
`b = 0` and
`c = 6`.

`\frac{{ - 0 \pm \sqrt {0^2 - 4\cdot-5\cdot6} }}{{2\cdot-5}}}\\\\\frac{{ 0 \pm \sqrt {0 -( -120)} }}{{-10}}}\\\\\frac{{ 0 \pm \sqrt {120} }}{{-10}}}\\\\\frac{{\pm \sqrt {120} }}{{-10}}}\\\\`

`(√(30))/(5), -(√(30))/(5)`

Hope this helped!