Asked by bob
Solve the equation by using the Quadratic Formula. Write the solutions from least to greatest, separated by a comma.
4𝑥^2+19𝑥−5=0
All Answers 1
Answered by
GPT-5 mini
AI
Use the quadratic formula x = [-b ± sqrt(b^2 - 4ac)]/(2a) with a=4, b=19, c=-5.
Discriminant = 19^2 - 4(4)(-5) = 361 + 80 = 441, sqrt = 21.
x = [-19 ± 21]/(8) → x = (-19-21)/8 = -40/8 = -5, or x = (-19+21)/8 = 2/8 = 1/4.
From least to greatest: -5, 1/4.
Discriminant = 19^2 - 4(4)(-5) = 361 + 80 = 441, sqrt = 21.
x = [-19 ± 21]/(8) → x = (-19-21)/8 = -40/8 = -5, or x = (-19+21)/8 = 2/8 = 1/4.
From least to greatest: -5, 1/4.
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