98a^4-28a^2+2=

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Solution for 98a^4-28a^2+2= equation:


Simplifying
98a4 + -28a2 + 2 = 0

Reorder the terms:
2 + -28a2 + 98a4 = 0

Solving
2 + -28a2 + 98a4 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + -14a2 + 49a4) = 0

Factor a trinomial.
2((1 + -7a2)(1 + -7a2)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(1 + -7a2)' equal to zero and attempt to solve: Simplifying 1 + -7a2 = 0 Solving 1 + -7a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7a2 = 0 + -1 -7a2 = 0 + -1 Combine like terms: 0 + -1 = -1 -7a2 = -1 Divide each side by '-7'. a2 = 0.1428571429 Simplifying a2 = 0.1428571429 Take the square root of each side: a = {-0.377964473, 0.377964473}

Subproblem 2

Set the factor '(1 + -7a2)' equal to zero and attempt to solve: Simplifying 1 + -7a2 = 0 Solving 1 + -7a2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7a2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7a2 = 0 + -1 -7a2 = 0 + -1 Combine like terms: 0 + -1 = -1 -7a2 = -1 Divide each side by '-7'. a2 = 0.1428571429 Simplifying a2 = 0.1428571429 Take the square root of each side: a = {-0.377964473, 0.377964473}

Solution

a = {-0.377964473, 0.377964473, -0.377964473, 0.377964473}

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