To solve the equation 8d^2 - 7 = 0 using the quadratic formula, we first identify the coefficients in the form ax^2 + bx + c = 0:
a = 8
b = 0
c = -7
Now, we can substitute these values into the quadratic formula:
d = [-b ± sqrt(b^2 - 4ac)] / 2a
d = [-(0) ± sqrt((0)^2 - 4(8)(-7))] / 2(8)
d = [± sqrt(224)] / 16
Now, we simplify the square root of 224:
sqrt(224) ≈ 14.97
Therefore, the solutions to the equation 8d^2 - 7 = 0 are:
d = (14.97) / 16 ≈ 0.935
or
d = (-14.97) / 16 ≈ -0.935
So, the solutions are d ≈ 0.94 or d ≈ -0.94.
Solve using the quadratic formula.
8d2 − 7 = 0
Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.
d =
or d =
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