What is the product of x (4x + 6) = 28?
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Answer:
Explanation:
x(4x+6)=28
We move all terms to the left:
x(4x+6)-(28)=0
We multiply parentheses
4x^2+6x-28=0
a = 4; b = 6; c = -28;
Δ = b2-4ac
Δ = 62-4·4·(-28)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
x1=−b−Δ√2ax2=−b+Δ√2a
Δ−−√=484−−−√=22
x1=−b−Δ√2a=−(6)−222∗4=−288=−3+1/2
x2=−b+Δ√2a=−(6)+222∗4=168=2
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4×2 + 6x = 28
4×2 + 6x - 28 = 0
a.4 b.6 c.-28
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