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[tex]5x ^{2} + 29x + 20 = 0[/tex]what are the real solutions of the equation

Tex5x 2 29x 20 0texwhat Are The Real Solutions Of The Equation class=

Sagot :

[tex]x_1=-5,x_2=-\frac{4}{5}[/tex]

1) Considering that the equation is:

[tex]5x^2+29x+20=0[/tex]

2) Let's solve it, then making use of the quadratic formula:

[tex]\begin{gathered} x=\frac{-b\pm\sqrt[]{\Delta}}{2a} \\ x=\frac{-29\pm\sqrt[]{(29)^2-4(5)(20)}}{2(5)} \\ x=\frac{-29\pm\sqrt[]{441}}{10}=\frac{29\pm21}{10} \\ x_1=-\frac{4}{5} \\ x_2=-5 \end{gathered}[/tex]

3) Hence, the Solution Set is S= { -5,-4/5}

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