<PRE><B>Question 819255</B>
3p^2 + 4p = 5
3p^2 + 4p - 5 = 0
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the above quadratic equation is in standard form, with a=3, b=4, and c=-5
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to solve the quadratic equation by using the quadratic formula, plug this:
3 4 -5
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots of the quadratic are:
p = 0.786299648
p = ( -4 + sqrt(4^2 - 4(3)(-5)) ) / 2(3)
p = ( -4 + sqrt(16 - (-60)) ) / 2(3)
p = ( -4 + sqrt(76) ) / 6
p = ( -4 + sqrt(4*19) ) / 6
p = ( -4 + (2)sqrt(19) ) / 6
p = ( -2 + sqrt(19) ) / 3
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p = -2.11963298
p = ( -4 - sqrt(4^2 - 4(3)(-5)) ) / 2(3)
p = ( -4 - sqrt(16 - (-60)) ) / 2(3)
p = ( -4 - sqrt(76) ) / 6
p = ( -4 - sqrt(4*19) ) / 6
p = ( -4 - (2)sqrt(19) ) / 6
p = ( -2 - sqrt(19) ) / 3
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Calculate and graph the linear regression of any data set:
https://sooeet.com/math/linear-regression.php</PRE>