IDNStudy.com, ang perpektong platform para magtanong at makakuha ng maaasahang mga sagot. Magtanong ng anumang bagay at makatanggap ng agarang tugon mula sa aming dedikadong komunidad ng mga eksperto.

how many real roots does the quadratic equation x2+5x+7=0?


Sagot :

It's discriminant is:
5² - 4(1)(7)
= 25-28
= -3

Hence, b²-4ac is negative then it has two imaginary solutions or no real roots.
[tex]x^2+5x+7=0 \\ \\a=1, \ b=5 ,\ \ c=7 \\ \\\Delta =b^2-4ac =5^2-4\cdot 1\cdot 7=25-28=-3\\\\If \ \Delta <0, \ then \ roots \ are \imaginary \ (non-real)[/tex]