Question

(6х – 5)=+ (3х – 2)(3x+2) = 36.​

Answer 1

$6x+5+9x^2-4=36$

$9x^2+6x-35=0$

$D=36+4*35*9=1296=36^2$

$x1=\frac{-6+36}{18} =\frac{30}{18}=\frac{5}{3}=1\frac{2}{3}$

$x2=\frac{-6-36}{18} =\frac{-42}{18} =-\frac{7}{3}=-2\frac{1}{3}$

Answer 2

Let's solve the given equation step by step.

Step 1: Solve the first equation (6x - 5) = 36

Add 5 to both sides: 6x - 5 + 5 = 36 + 5 6x = 41

Step 2: Divide both sides by 6 to solve for x: x = 41 / 6 x ≈ 6.8333 (rounded to four decimal places)

Now, we have found the value of x from the first equation. Let's proceed to the second equation.

Step 3: Substitute the value of x into the second equation (3x - 2)(3x + 2) = 36

Substitute x = 6.8333 into the equation: (3 * 6.8333 - 2)(3 * 6.8333 + 2) = 36

Step 4: Perform the calculations:

(20.4999 - 2)(20.4999 + 2) = 36 (18.4999)(22.4999) = 36 416.2640 = 36

Since 416.2640 is not equal to 36, it seems there might be a mistake in the given equation or calculations. Please recheck the original equation to ensure its accuracy. If you provide the correct equation, I'd be happy to help you solve it.