How many and what type of solution(s) does the equation have?8p^2=24p−10

2 real solutions

Step-by-step explanation:

to understand thisyou need to know about:discriminantPEMDAStips and formulasD>0 (2 real solutions)D=0 (1 real solution)D<0 (2 imaginary solutions) or (no real solutions)let's solve:move left hand side expressions to right hand side and change its sign:8p²-24p+10=0divide both sides by 2 :4p²-12p+5=0

the quadratic equation standard form is

ax²+bx+c=0

therefore we get

a=4b=-12c=5

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substitute the value of a,b and c into the discriminant: D=-12²-4.4.5simplify square:144-4.4.5simplify multiplication:144-80simplify substraction:64

since we got D>0

therefore

the quadratic equation has 2 real solutions