Robert is a high school basketball player. In a particular game, he made some three point shots and some free throws (worth one
1 answer:
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Answer:
The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )
Step-by-step explanation:
Given equation as :
3 x² + 6 x +15 = 0
The value of x fro the quadratic equation a x² + b x + c = 0 is obtained as
x =
So , from given eq , the value of x is now obtain as
x =
Or, x =
Or, x =
∴ x = ( - 1 + 2 i ) , ( - 1 - 2 i )
Hence The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i ) Answer
Answer:
<u>Step-by-step explanation:</u>
y = 8x² - 3 (Restriction: none - x is All Real Numbers)
The inverse is when you swap the x's and y's and then solve for y
x = 8y² - 3 <em>swapped the x and y</em>
x + 3 = 8y² <em>added 3 to both sides</em>
<em>divided both sides by 8</em>
<em>square rooted both sides</em>
<em>simplified</em>
rationalized the denominator
<em>simplified</em>
<em>simplified</em>
<u>Restriction:</u>
The radical <em>(inside the square root sign)</em> cannot be negative
→ 2(x + 3) ≥ 0
x + 3 ≥ 0 <em>divided both sides by 2</em>
x ≥ -3 <em>subtracted 3 from both sides</em>