Solve x^3-2x^2-245=0

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Type your math problem... x^3-2x^2-245=0

Question

Solve the equation

x = 7

Evaluate

x^{3} - 2 x^{2} - 245 = 0

Factor the expression

(x - 7) (x^{2} + 5 x + 35) = 0

Separate the equation into 2 possible cases

x - 7 = 0 x^{2} + 5 x + 35 = 0

Solve the equation

More Steps

Evaluate

x - 7 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 7

Removing 0 doesn't change the value,so remove it from the expression

x = 7

x = 7 x^{2} + 5 x + 35 = 0

Solve the equation

More Steps

Evaluate

x^{2} + 5 x + 35 = 0

Substitute a= 1,b= 5 and c= 35 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{- 5 \pm 5 ^{2} - 4 \times 35}{2}

Simplify the expression

More Steps

Evaluate

5^{2} - 4 \times 35

Multiply the numbers

5^{2} - 140

Evaluate the power

25 - 140

Subtract the numbers

- 115

x = \frac{- 5 \pm - 115}{2}

The expression is undefined in the set of real numbers

x \in / R

x = 7 x \in / R

Solution

x = 7

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