Solve for d. sqrt 9d 4 = sqrt 5d d = _____

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Solve for d.  sqrt 9d  4 = sqrt 5d  d = _____

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Isolate square root terms: First, we need to isolate the square root terms on one side of the equation. We can do this by subtracting 4 from both sides of the equation. sqrt(9d) + 4 - 4 = sqrt(5d) - 4 sqrt(9d) = sqrt(5d) - 4Square both sides: Next, we square both sides of the equation to eliminate the square roots. (sqrt(9d))^2 = (sqrt(5d) - 4)^2 9d = (sqrt(5d) - 4)(sqrt(5d) - 4)Expand using FOIL method: Now we need to expand the right side of the equation using the FOIL method (First, Outer, Inner, Last). 9d = (sqrt(5d))(sqrt(5d)) - 4(sqrt(5d)) - 4(sqrt(5d)) + 16 9d = 5d - 8sqrt(5d) + 16Isolate square root term: We then isolate the term with the square root on one side of the equation by moving all other terms to the opposite side. 9d - 5d = -8sqrt(5d) + 16 4d = -8sqrt(5d) + 16Move constant term: Next, we move the constant term to the other side by subtracting 16 from both sides. 4d - 16 = -8sqrt(5d)Divide by -8: Now we divide both sides by -8 to isolate sqrt(5d). (4d - 16) / -8 = sqrt(5d) -0.5d + 2 = sqrt(5d)Square both sides: We square both sides again to eliminate the square root. (-0.5d + 2)^2 = (sqrt(5d))^2 0.25d^2 - 2d + 4 = 5dSet equation to zero: We bring all terms to one side to set the equation to zero and solve for d. 0.25d^2 - 2d + 4 - 5d = 0 0.25d^2 - 7d + 4 = 0Correct previous step: This is a quadratic equation, and we can solve it by using the quadratic formula, d = (-b ± sqrt(b^2 - 4ac)) / (2a), where a = 0.25, b = -7, and c = 4. However, we made a mistake in the previous step. The correct equation after squaring both sides should be: 0.25d^2 - 2d + 4 = 5d 0.25d^2 - 7d + 4 = 0 This is incorrect because the term -2d should have been -1d when we multiplied -0.5d by -2. Let's correct this. 0.25d^2 - 1d + 4 = 5d 0.25d^2 - 6d + 4 = 0

Solve for $d$ . $\newline$ $\sqrt{9d + 4} = \sqrt{5d}$ $\newline$ $d =$ _____

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Solve for ddd.\newline9d+4=5d\sqrt{9d + 4} = \sqrt{5d}9d+4​=5d​\newlined=d = d=_____

Solve for $d$ . $\newline$ $\sqrt{9d + 4} = \sqrt{5d}$ $\newline$ $d =$ _____