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Popular >

e^x-x^2=0

Solution

e^{x} - x^{2} = 0

Solution

x = - 2 W_{0} (\frac{1}{2})

+1

Decimal Notation

x = - 0.70346 \dots

Solution steps

e^{x} - x^{2} = 0

Move

x^{2}

to the right side

e^{x} = x^{2}

Take both sides of the equation to the power of

\frac{1}{2}

(e^{x})^{\frac{1}{2}} = (x^{2})^{\frac{1}{2}}

Simplify

(e^{x})^{\frac{1}{2}} : e^{\frac{x}{2}}

Simplify

(x^{2})^{\frac{1}{2}} : ∣ x ∣

Solve

e^{\frac{x}{2}} = ∣ x ∣ : x = - 2 W_{0} (\frac{1}{2})

x = - 2 W_{0} (\frac{1}{2})

Popular Examples

5^{x + 1} + 5^{x} = 6

e^{- x} + x = 0

7^{3x+4}=49^{2x-3}

7^{3 x + 4} = 4 9^{2 x - 3}

9^{x} - 3^{x} - 2 = 0

e^{x} + x - 2 = 0

Frequently Asked Questions (FAQ)

What is the answer to e^x-x^2=0 ?
The answer to e^x-x^2=0 is x=-2\W_{0}(1/2)