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Can you help me find the discriminant of this quadratic question aswell as the number and type of solutions?Problem: 2x^2+2=-5x

Sagot :

Given the quadratic equation:

[tex]2x²+2=-5x[/tex]

we can write it like this:

[tex]2x²+5x+2=0[/tex]

the discriminant is the expression b²-4ac. In this case, a = 2, b = 5 and c = 2, then, the discriminant is:

[tex]b²-4ac=(5)²-4(2)(2)=25-16=9[/tex]

notice that the discriminant is 9 > 0, therefore, the quadratic function has two real solutions

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