Question: "x² - 5x+10=0"

Gella Cabahug

Answered question

2022-08-24

x² - 5x+10=0

Mr Solver

Skilled2023-06-05Added 147 answers

To solve the quadratic equation

x^{2} - 5 x + 10 = 0

, we can use the quadratic formula:

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

where

a

b

, and

c

are the coefficients of the quadratic equation.
For the given equation

x^{2} - 5 x + 10 = 0

, we have

a = 1

b = - 5

, and

c = 10

.
Substituting these values into the quadratic formula, we get:

x = \frac{- (- 5) \pm \sqrt{(- 5)^{2} - 4 \cdot 1 \cdot 10}}{2 \cdot 1}

Simplifying further:

x = \frac{5 \pm \sqrt{25 - 40}}{2}

x = \frac{5 \pm \sqrt{- 15}}{2}

Since the discriminant

b^{2} - 4 a c

is negative, the quadratic equation does not have real solutions. The solutions involve imaginary numbers.

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