7.6 Quadratic equations  (Page 7/9)

Watermelon drop A watermelon is dropped from the tenth story of a building. Solve the equation $\mathrm{-16}{t}^2+144=0$ for $t$ to find the number of seconds it takes the watermelon to reach the ground.

Explain how you solve a quadratic equation. How many answers do you expect to get for a quadratic equation?

Give an example of a quadratic equation that has a GCF and none of the solutions to the equation is zero.

$42,60$

$450,420$

$90,150,105$

$60,294,630$

$24x-42$

$35y+84$

$15m^4+6m^{2}n$

$24p{t}^4+16t^7$

$ax-ay+bx-by$

$x^{2}y-x{y}^2+2x-2y$

$x^2+7x-3x-21$

$4x^2-16x+3x-12$

$m^3+m^2+m+1$

$5x-5y-y+x$

$u^2+17u+72$

$a^2+14a+33$

$k^2-16k+60$

$r^2-11r+28$

$y^2+6y-7$

$m^2+3m-54$

$s^2-2s-8$

$x^2-3x-10$

$x^2+12xy+35y^2$

$u^2+14uv+48v^2$

$a^2+4ab-21b^2$

$p^2-5pq-36q^2$

$y^2-17y+42$

$12r^2+32r+5$

$8a^3+72a$

$4m-mn-3n+12$

$6x^2+42x+60$

$8a^2+32a+24$

$3n^4-12n^3-96n^2$

$5y^4+25y^2-70y$

$2x^2+9x+4$

$3y^2+17y+10$

$18a^2-9a+1$

$8u^2-14u+3$

$15p^2+2p-8$

$15x^2+6x-2$

$40s^2-s-6$

$20n^2-7n-3$

$3x^2+3x-36$

$4x^2+4x-8$

$60y^2-85y-25$

$18a^2-57a-21$

$25x^2+30x+9$

$16y^2+72y+81$

$36a^2-84ab+49b^2$

$64r^2-176rs+121s^2$

$40x^2+360x+810$

$75u^2+180u+108$

$2y^3-16y^2+32y$

$5k^3-70k^2+245k$

$81r^2-25$

$49a^2-144$

$169m^2-n^2$

$64x^2-y^2$

$25p^2-1$

$1-16s^2$

$9-121y^2$

$100k^2-81$

$20x^2-125$

$18y^2-98$

$49u^3-9u$

$169n^3-n$

$a^3-125$

$b^3-216$

$2m^3+54$

$81x^3+3$

$24x^3+44x^2$

$24a^4-9a^3$

$16n^2-56mn+49m^2$

$6a^2-25a-9$

$5r^2+22r-48$

$5u^4-45u^2$

$n^4-81$

$64j^2+225$

$5x^2+5x-60$

$b^3-64$

$m^3+125$

$2b^2-2bc+5cb-5c^2$

$(a-3)(a+7)=0$

$(b-3)(b+10)=0$

$3m(2m-5)(m+6)=0$

$7n(3n+8)(n-5)=0$

$x^2+9x+20=0$

$y^2-y-72=0$

$2p^2-11p=40$

$q^3+3q^2+2q=0$

$144m^2-25=0$

$4n^2=36$

The product of two consecutive numbers is $462$ . Find the numbers.

The area of a rectangular shaped patio $400$ square feet. The length of the patio is $9$ feet more than its width. Find the length and width.

$14y-42$

$\mathrm{-6}{x}^2-30x$

$80a^2+120a^3$

$5m\left(m-1\right)+3\left(m-1\right)$

$x^2+13x+36$

$p^2+pq-12q^2$

$3a^3-6a^2-72a$

$s^2-25s+84$

$5n^2+30n+45$

$64y^2-49$

$xy-8y+7x-56$

$40r^2+810$

$9s^2-12s+4$

$n^2+12n+36$

$100-a^2$

$6x^2-11x-10$

$3x^2-75y^2$

$c^3-1000d^3$

$ab-3b-2a+6$

$6u^2+3u-18$

$8m^2+22m+5$

$x^2+9x+20=0$

$y^2=y+132$

$5a^2+26a=24$

$9b^2-9=0$

$16-m^2=0$

$4n^2+19+21=0$

$\left(x-3\right)\left(x+2\right)=6$

The product of two consecutive integers is $156$ . Find the integers.

The area of a rectangular place mat is $168$ square inches. Its length is two inches longer than the width. Find the length and width of the placemat.