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4. Solve using quadratic formula 5x2 + 7x + 1 = 0

Sagot :

Answer: [tex]x=\frac{-7 \pm \sqrt{29}}{10}[/tex]

Step-by-step explanation:

The quadratic formula states that the solutions to the equation [tex]ax^2+bx+c=0[/tex] are [tex]x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex].

In this case, [tex]a=5, b=7, c=1[/tex].

Substituting these values into the formula,

[tex]x=\frac{-7 \pm \sqrt{7^2 -4(1)(5)}}{2(5)}\\\\x=\frac{-7 \pm \sqrt{29}}{10}[/tex]