What are the solutions to the equation (x-2-sqrt(5))(x-2+sqrt(5))=0 ?

The solutions to the equation (x-2-sqrt(5))(x-2+sqrt(5))=0 are x=2+sqrt(5),x=2-sqrt(5)

Find the zeros of (x-2-sqrt(5))(x-2+sqrt(5))=0

The zeros of (x-2-sqrt(5))(x-2+sqrt(5))=0 are x=2+sqrt(5),x=2-sqrt(5)

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(x - 2 - 5) (x - 2 + 5) = 0

x = 2 + 5, x = 2 - 5

Decimal

x = 4.23606 \dots, x = - 0.23606 \dots

Solution steps

(x - 2 - 5) (x - 2 + 5) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 2 - 5 = 0 or x - 2 + 5 = 0

Solve

x - 2 - 5 = 0 : x = 2 + 5

Solve

x - 2 + 5 = 0 : x = 2 - 5

The solutions to the quadratic equation are:

x = 2 + 5, x = 2 - 5

15 x^{2} - 4 x = 0

15 x^{2} + 7 x - 12 = 3 x^{2} + x - 12

40 (- 3 x^{2} - 4) = 0

r^{2} - 7 r + 10 = 0

- 4 x^{2} + 2 x + 4 = 0

What are the solutions to the equation (x-2-sqrt(5))(x-2+sqrt(5))=0 ?
The solutions to the equation (x-2-sqrt(5))(x-2+sqrt(5))=0 are x=2+sqrt(5),x=2-sqrt(5)
Find the zeros of (x-2-sqrt(5))(x-2+sqrt(5))=0
The zeros of (x-2-sqrt(5))(x-2+sqrt(5))=0 are x=2+sqrt(5),x=2-sqrt(5)