Solve (5a^(2)-3) (8a^(2)-1)

Question

Simplify the expression

40 a^{4} - 29 a^{2} + 3

Show Solution

a_{1} = - \frac{15}{5}, a_{2} = - \frac{2}{4}, a_{3} = \frac{2}{4}, a_{4} = \frac{15}{5}

Alternative Form

a_{1} \approx - 0.774597, a_{2} \approx - 0.353553, a_{3} \approx 0.353553, a_{4} \approx 0.774597

Evaluate

(5 a^{2} - 3) (8 a^{2} - 1)

To find the roots of the expression,set the expression equal to 0

(5 a^{2} - 3) (8 a^{2} - 1) = 0

Separate the equation into 2 possible cases

5 a^{2} - 3 = 0 8 a^{2} - 1 = 0

Solve the equation

More Steps

a = \frac{15}{5} a = - \frac{15}{5} 8 a^{2} - 1 = 0

Solve the equation

More Steps

a = \frac{15}{5} a = - \frac{15}{5} a = \frac{2}{4} a = - \frac{2}{4}

Solution

a_{1} = - \frac{15}{5}, a_{2} = - \frac{2}{4}, a_{3} = \frac{2}{4}, a_{4} = \frac{15}{5}

Alternative Form

a_{1} \approx - 0.774597, a_{2} \approx - 0.353553, a_{3} \approx 0.353553, a_{4} \approx 0.774597

Show Solution