Assuming that is:
x - √x = 6
rearrange to make the √x the subject:
√x = x - 6
Square both sides:
x = x2 - 12x + 36
Rearrange into normal quadratic form and solve:
x2 - 13x + 36 = 0
→ (x - 9)(x - 4) = 0
→ x = 9
or x = 4
However, note that this second one gives √x = - 2, but the radical √x is usually taken to mean the positive root of x, thus x = 9 is the solution.
Yes and x = 2+square root of 6 or x = 2-square root of 6
Let's x be one of the numbers, and y the other number. So, x + y = -8 xy = 6 y = -x - 8 x(-x -8) = 6 -x^2 - 8x = 6 multiply by -1 both sides x^2 + 8x = -6 solve for x by completing the square; x^2 + 8x + 16 = -6 + 16 (x + 4)^2 = 10 x + 4 = square root of 10 x = -4 + square root of 10 or x = -4 - square root of 10 if we continue to solve the system of the equations, we can find the same value for y. Thus the numbers are -4 + square root of 10 and -4 - square root of 10. Check: (-4 + square root of 10) + (-4 - square root of 10) = -4 + square root of 10 - 4 - square root of 10 = -8 (-4 + square root of 10)(-4 - square root of 10) = (-4)^2 - (square root of 10)^2 = 16 - 10 = 6
The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).The idea is to take any perfect square out of the square root sign. root(24) = root(4 x 6) = root(4) x root(6) = 2 x root(6).
take x = root 6+ root 6.............upto infinityx = root 6 + x ........ie take root six once and keep the n number of root 6 as xsquare on both sidesx2 = 6 + xx2 - x- 6 = 0 solve this quadratic equations.you will get x= 3 or -2but x is not -2 as it will not satisfyso x = 3thus the valueroot 6 plus root 6 till infinity = 3
if this is x squared -6x+6=0 then -6=b, a=1, c=6 6+ square root of -6 squared-4(6x1) - 6+ square root of (36-24) - 6+ square root of 12 - 6+ square root of 4 x square root of 3 - 6 + (2x square root of 3) - that is all divided by 2 multiplied by a meaning it is divided by 2. so x= 6 + or - (2 square root 3) divided by 2 srry steps are jmbled -
If x equals the square root of ...., then you already have solved for x
x = -0.5 + 2.397915761656359ix = -0.5 - 2.397915761656359iwhere i is the imaginary square root of negative one.
Several different ways in which the solution can be expressed. 2 √18 Take everything inside the square root. 2√18 = √(4 x 18) = √72 Simplify the square root. 2√18 = 2√(9 x 2) = 2 x 3√2 = 6√2 Solve the square root. 2√18 = 2 x 4.24264 = 8.48528 (5dp)
To solve this problem, you must first solve the smaller problems. The square root of 25 is 5, and the square root of 120 is 10.95. First solve the equation on the left side of the multiplication sign, which is 4 x 5. Now, multiple the answer of 20 by 10.95, which is 219.
Oh, dude, finding the square root of 6 times the square root of 24 is like finding out what's inside a mystery box. You simply multiply the numbers under the square roots together, so it's the square root of 144. That simplifies to 12, because 12 times 12 is 144. Easy peasy, lemon squeezy!
x2 + X -6 =0 so X2 + X = 6 so X2 = 6-x so X = square root of (6-x) That's as far as I can get it.
x2 - 6x + 1 = 0 x = [-(-6) +&- square root of [(-6)2 - 4(1)(1)]]/2(1) x = (6 +&- square root of 32)/2 x = [6 +&- 4(square root of 2)]/2 x = 3 +&- 2(square root of 2) x = 3 + 2(square root of 2) or x = 3 - 2(square root of 2) Check: