Answer:
x= square root of 6/5
Step-by-step explanation:
-5x^2+6=0
-5x*2=-6
5x^2=6
5x=square root of 6
x= square root of 6/5
Answer:
[tex]\frac{\sqrt{30}}{5}, -\frac{\sqrt{30}}{5}[/tex]
Step-by-step explanation:
We have the equation [tex]-5x^2 + 6 = 0[/tex]
Since we know that any number multiplied by 0 is 0, we can safely make the term [tex]0x[/tex] to add to this.
So our equation now is [tex]-5x^2 + 0x + 6[/tex]
We can now solve for this using the quadratic formula, which is [tex]\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}[/tex].
b is the coefficient on the x term, a is the coefficient on the [tex]x^2[/tex] term, and c is the constant.
Let's substitute inside the equation, since we know [tex]a = -5[/tex], [tex]b = 0[/tex] and [tex]c = 6[/tex].
[tex]\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}}}\\\\[/tex]
[tex]\frac{\sqrt{30}}{5}, -\frac{\sqrt{30}}{5}[/tex]
Hope this helped!
