Answer:
10.) 12 + 3i
11.) 3 - i
A math conjugate is formed by changing the sign between two terms in a binomial. For instance, the conjugate of x + y is x - y. We can also say that x + y is a conjugate of x - y.
12.) x² - 8x + 17 = 0
Let's solve your equation step-by-step.
x² − 8x + 17 = 0
Step 1: Use quadratic formula with a=1, b=-8, c=17.
x= −b±√b2−4ac / 2a
x= −(−8) ± √(−8)2−4(1)(17) / 2(1)
x= 8 ± √−4 / 2
There are no real solutions.
13.) x²- 8x + 17 = 0
Let's solve your equation step-by-step.
x² − 8x + 17 = 0
Step 1: Use quadratic formula with a=1, b=-8, c=17.
x= −b ± √b2−4ac / 2a
x= −(−8) ± √(−8)2−4(1)(17) / 2(1)
x= 8 ± √−4 / 2
There are no real solutions.
Step-by-step explanation:
To solve a quadratic equation by factoring,
Put all terms on one side of the equal sign, leaving zero on the other side.
Factor.
Set each factor equal to zero.
Solve each of these equations.
Check by inserting your answer in the original equation
I hope this helps!
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