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17. Use the quadratic formula to solve the equation.4x?+ 9x-10-0-10 1608-9 12414-14 02-92418

17 Use The Quadratic Formula To Solve The Equation4x 9x10010 16089 1241414 0292418 class=

Sagot :

Answer:[tex]x\text{ = }\frac{-9\pm\sqrt[]{241}}{8}[/tex]

Explanations:

The given quadratic equation is:

[tex]4x^2+9x\text{ - 10 = 0}[/tex]

The quadratic formula is gven as:

[tex]\begin{gathered} \text{x = }\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \end{gathered}[/tex]

From the given equation:

a = 4, b = 9, c = -10

Substitute these values into the quadratic formula:

[tex]\begin{gathered} \text{x = }\frac{-9\pm\sqrt[]{9^2-4(4)(-10)}}{2(4)} \\ x\text{ = }\frac{-9\pm\sqrt[]{81+160}}{8} \\ x\text{ = }\frac{-9\pm\sqrt[]{241}}{8} \end{gathered}[/tex]