Answer:
x=7/3 or x=2.33
Step-by-step explanation:
9x^2 - 52x + 33 = -10x - 16
Okay, lets Start by converting this into standard form, which is<em>: </em>ax^2 + bx + c = 0.
Add 10x+16 on both sides of the equation, and simplifying.
9x^2 - 52x + 33 + 10x + 16 = -10x - 16 + 10x + 16
9x^2 - 42x + 49 = 0
<em>Guess What! This equation is a Perfect Square Trinomial. </em>
<u><em> For a Perfect Square Trinomial, you will be able to take the square root of the first and third terms, and the coefficient of the second term will be twice the square root of the third term. The “sign” of your second term in your answer will be the same as the linear term sign. </em></u>
<em>So this is</em> (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0
<em>So, we can rewrite this as</em> (3x - 7)^2=0
<em>Now, To solve, We can </em>set each factor equal to 0,<em> and solve.</em>
<em> *Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*</em>
Add 7 on both sides.
3x - 7 = 0
+7 +7
----------------
3x=7
Divide by 3 on both sides.
3x/3 = 7/3
x=7/3
As a decimal: 2.33...
<em>Hope I helped, Brainliest would be appreciated :)</em>
<em>Have a fantastic day!</em>
<em> -Aadi x</em>
