Schofield Mills
07/18/2023 · Senior High School
\( f(x)-x^{2}-5 x+2 \) Solve for \( x \) if \( f(x)=0 \) For which values of \( c \) will \( f(x)=c \) have no real roots? for \( x \) and \( y \) :
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To solve \( f(x) = 0 \), set \( x^{2} + 5x - 2 = 0 \) and find the solutions:
\[ x = \frac{-5 + \sqrt{33}}{2} \quad \text{and} \quad x = \frac{-5 - \sqrt{33}}{2} \]
For \( f(x) = c \) to have no real roots, \( c \) must be less than -8.25.
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