the standard form of the quadratic equation 3x2=4(5x-3)is
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hi
Step-by-step explanation:
The standard form of the quadratic equation 3x2 = 4(5x – 3) isA. 3x2 - 5x + 3 = 0B.
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Answer:
ax2+bx+c=0
The solution is
x=−b±√b2−4ac2a
The discriminant Δ is b2−4ac.
The discriminant "discriminates" the nature of the roots.
There are three possibilities.
If Δ>0, there are two separate real roots.
If Δ=0, there are two identical real roots.
If Δ<0, there are no real roots, but there are two complex roots.
Your equation is
3x2–5x+4=0
Δ=b2–4ac=(−5)2−4×3×4=25–48=−23
This tells you that there are no real roots, but there are two complex roots.
We can see this if we solve the equation.
3x2–5x+4=0
x=−b±√b2−4ac2a=−(−5)±√(−5)2−4×3×42×3=5±√25−486=5±√−
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