The solutions to the given quadratic equation are -10 and 1.
The given equation is:
[tex]2x^{2} +18x=20[/tex]
We can write it as:
[tex]2x^{2} +18x-20=0[/tex]
[tex]2(x^{2} +9x-10)=0[/tex]
[tex]x^{2} +9x-10=0[/tex]........(1)
What is a quadratic equation?
Any equation of the form [tex]ax^{2} +bx+c=0[/tex] where [tex]a\neq 0[/tex] is called a quadratic equation.
So, by solving equation (1)
[tex]x^{2} +10x-x-10=0[/tex]
[tex]x(x+10)-1(x+10)=0[/tex]
[tex](x+10)(x-1)=0[/tex]
[tex]x+10=0[/tex]⇒[tex]x=-10[/tex]
[tex]x-1=0[/tex]⇒[tex]x=1[/tex]
Hence, the solutions to the given quadratic equation are -10 and 1.
to get more about quadratic equations visit:
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