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Use the quadratic formula to solve the equation​.

8x^2−17x+7=0

In simplified radical form
X= ___ or x=___

Sagot :

someone761

Answer:

Therefore, the solutions in simplified radical form are:

x = (17 + √65) / 16 or x = (17 - √65) / 16.

Step-by-step explanation:

To solve the equation 8x^2 - 17x + 7 = 0 using the quadratic formula, we can identify the coefficients a = 8, b = -17, and c = 7 in the general quadratic equation ax^2 + bx + c = 0.

The quadratic formula is x = (-b ± √(b^2 - 4ac)) / 2a.

Substitute the values of a, b, and c into the formula:

x = [17 ± √((-17)^2 - 4*8*7)] / 2*8

x = [17 ± √(289 - 224)] / 16

x = [17 ± √65] / 16

Therefore, the solutions in simplified radical form are:

x = (17 + √65) / 16 or x = (17 - √65) / 16.

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