How do you do this problem? What's the answer?
(sq root of 4x+1) multiplied by -(square root of x-2)
= - (sq root of (4x+1) multiplied by (x-2))
= - (sq root of (4x^2 - 7x -2 ))
Multiplying Square Roots With Variables
Square Roots With Variables
You undo the square roots
(sq root of 4x+1)^2 multiplied by -(square root of x-2)^2
(4x + 1)(-x - 2)
= -4x^2 - 8x - x - 2
= -4x^2 - 9x - 2
Put to standard form and move everything to the other side because you want x^2 always positive
0 = -4x^2 - 9x - 2
4x^2 + 9x + 2 = 0
(x + 8)(x + 1) = 0
x = -8
x = -1
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Verified answer
(sq root of 4x+1) multiplied by -(square root of x-2)
= - (sq root of (4x+1) multiplied by (x-2))
= - (sq root of (4x^2 - 7x -2 ))
Multiplying Square Roots With Variables
Square Roots With Variables
You undo the square roots
(sq root of 4x+1)^2 multiplied by -(square root of x-2)^2
(4x + 1)(-x - 2)
= -4x^2 - 8x - x - 2
= -4x^2 - 9x - 2
Put to standard form and move everything to the other side because you want x^2 always positive
0 = -4x^2 - 9x - 2
4x^2 + 9x + 2 = 0
(x + 8)(x + 1) = 0
x = -8
x = -1