find x (3x-17) (8x+10)
Answers
Answer:
Step-by-step explanation:
(3x-17)(8x+10)=180
We move all terms to the left:
(3x-17)(8x+10)-(180)=0
We multiply parentheses ..
(+24x^2+30x-136x-170)-180=0
We get rid of parentheses
24x^2+30x-136x-170-180=0
We add all the numbers together, and all the variables
24x^2-106x-350=0
a = 24; b = -106; c = -350;
Δ = b2-4ac
Δ = -1062-4·24·(-350)
Δ = 44836
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2 ax2=−b+Δ√2 a
The end solution:
Δ−−√=44836−−−−−√=4∗11209−−−−−−−√=4√∗11209−−−−−√=211209−−−−−√
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-106)-2\sqrt{11209}}{2*24}=\frac{106-2\sqrt{11209}}{48}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-106)+2\sqrt{11209}}{2*24}=\frac{106+2\sqrt{11209}}{48}
$
Answer:
24ײ-160-170
Step-by-step explanation:
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