91Ó°ÊÓ

$$\text { Solve the given quadratic equations by factoring.}$$ $$3 x=4-7 x^{2}$$

Solve the given quadratic equations by completing the square. Exercises \(11-14\) and \(17-20\) may be checked by factoring. $$10 T-5 T^{2}=4$$

Solve the given quadratic equations by factoring. $$6 x^{2}=13 x-6$$

$$\text { Solve the given quadratic equations by factoring.}$$ $$6 x^{2}=13 x-6$$

Use completing the square to solve the given problems. A flare is shot vertically into the air such that its distance \(s\) (in \(\mathrm{ft}\) ) above the ground is given by \(s=64 t-16 t^{2},\) where \(t\) is the time (in s) after it was fired. Find \(t\) for \(s=48 \mathrm{ft}\)

Solve the given quadratic equations by factoring. $$V\left(V^{2}-4\right)=V^{2}(V-1)$$

$$\text { Solve the given quadratic equations by factoring.}$$ $$V\left(V^{2}-4\right)=V^{2}(V-1)$$

$$ \text { Solve the given quadratic equations by factoring.}$$ In Eq. \((7.1),\) for \(a=2, b=-7,\) and \(c=3,\) show that the sum of the roots is \(-b / a\)

Solve the given problems. All numbers are accurate to at least two significant digits. Find \(k\) if the equation \(x^{2}+4 x+k=0\) has a real double root.

Solve the given problems. All numbers are accurate to at least two significant digits. Solve \(6 x^{2}-x=15\) for \(x\) by (a) factoring, (b) completing the square, and (c) the quadratic formula. Which is (a) longest?, (b) shortest?