Respuesta :
Answer:
x=1.3288 or -1.1288
Step-by-step explanation:
Given [tex]20x^{2}-30=4x[/tex]
Subtract 4x from both sides
[tex]20x^{2}-4x-30=0[/tex]
Since we can factor out 2 from whole equation, let's factor out 2.
[tex]2(10x^{2}-2x-15)=0[/tex]
Divide with 2 on both sides
[tex]10x^{2}-2x-15=0[/tex]
We got the quadratic equation, we can solve for x using quadratic formula.
[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac} } {2a}[/tex]
[tex]x=\frac{2\pm\sqrt{2^{2}-4X10X(-15)} } {2X10}[/tex]
[tex]x=\frac{2\pm\sqrt{604} }{20}[/tex]
[tex]x=\frac{2\pm2\sqrt{151}}{20}[/tex]
[tex]x=1.3288or-1.1288[/tex]