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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Solve for x, 2x2 = 128
Solution:
Given: Equation is 2x2 = 128.
Let us use the algebraic identity to solve the equation.
2x² = 128 can be expressed as 2x2 - 128 = 0.
By taking out the common terms, we get
2 (x2 - 64) = 0
x2 - 64 = 0 [By using the zero product rule]
By using algebraic identity,
a2 - b2 = (a - b) (a + b)
(x)2 - (8)2 = (x - 8) (x + 8) = 0
Considering the two factors equal to zero, we get
x - 8 = 0 and x + 8 = 0
x = 8 and x = - 8.
Hence, the solution of the equation 2x2 = 128 is x = 8 and -8.
Solve for x, 2x2 = 128
Summary:
The equation 2x² = 128 has two solutions x = 8, and - 8.
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