What is -3m^2-6m+9>0 ?

The solution to -3m^2-6m+9>0 is -3<m<1

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-3m^2-6m+9>0

- 3 m^{2} - 6 m + 9 > 0

- 3 < m < 1

Interval Notation

(- 3, 1)

Solution steps

- 3 m^{2} - 6 m + 9 > 0

Rewrite in standard form

- m^{2} - 2 m + 3 > 0

Factor

- m^{2} - 2 m + 3 : - (m - 1) (m + 3)

- (m - 1) (m + 3) > 0

Multiply both sides by

- 1

(reverse the inequality)

(- (m - 1) (m + 3)) (- 1) < 0 \cdot (- 1)

Simplify

(m - 1) (m + 3) < 0

Identify the intervals

- 3 < m < 1

\frac{\frac{π}{6}}{π}

6 x^{- 4}

\frac{8 - 2 x}{4 - x} = 2

x^{2} = 289

x^{2} - 3 x = 10