Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $h$ . $\newline$ $h^2 + 18h + 17 = 0$ $\newline$ Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. $\newline$ $h =$ ____

View step-by-step help

View step-by-step help

Solve a quadratic equation by factoring

Full solution

Q. Solve for

h

.

\newline

h^2 + 18h + 17 = 0

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

h =

____

Identify Numbers: $h^2 + 18h + 17 = 0$ $\newline$ Find two numbers with a product of $17$ and whose sum is $18$ . $\newline$ $1 \times 17 = 17$ $\newline$ $1 + 17 = 18$ $\newline$ Two numbers: $1,17$
Choose Equation: $h^2 + 18h + 17 = 0$ $\newline$ Choose the equation after splitting the middle term. $\newline$ $18h$ can be written as the sum of $1h$ and $17h$ . $\newline$ $h^2 + 18h + 17 = 0$ $\newline$ $h^2 + 1h + 17h + 17 = 0$
Write Factored Form: Write the factored form of $h^2 + 1h + 17h + 17 = 0$ . $\newline$ $h^2 + 1h + 17h + 17 = 0$ $\newline$ $h(h + 1) + 17(h + 1) = 0$ $\newline$ $(h + 1)(h + 17) = 0$
Solve for $h$ : $h + 1 = 0$ $\newline$ Solve for $h$ . $\newline$ Subtract $1$ from both sides. $\newline$ $h + 1 - 1 = 0 - 1$ $\newline$ $h = -1$
Solve for $h$ : $h + 17 = 0$ $\newline$ Solve for $h$ . Subtract $17$ from both sides. $\newline$ $h + 17 - 17 = 0 - 17$ $\newline$ $h = -17$
Write Solutions: We found: $\newline$ $h = -1$ $\newline$ $h = -17$ $\newline$ Write solutions of $h^2 + 18h + 17 = 0$ . $\newline$ Values of $h$ : $-1$ , $-17$

More problems from Solve a quadratic equation by factoring

Question

v

\newline

v^2+8v+12=0

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

v=

Posted 1 month ago

Question

u

\newline

u^2 = 9

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

u =

u =

Posted 2 months ago

Question

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

k^2 - 20k + \_\_\_\_\_

Posted 2 months ago

Question

Solve by completing the square.

\newline

u^2 - 24u - 23 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

`u` = ________ or `u` =______

Posted 2 months ago

Question

Find the discriminant.

\newline

2q^2 - 9q + 8 = 0

\newline

Posted 2 months ago

Question

Solve the system of equations.

\newline

y = 22x - 38

\newline

y = x^2 + 11x - 14

\newline

Write the coordinates in exact form. Simplify all fractions and radicals.

\newline

(\_,\_)

\newline

(\_,\_)

Posted 1 month ago

Question

a

\newline

(a + 5)(a + 1) = 0

\newline

Write your answers as integers or as proper or improper fractions in simplest form.

\newline

a =

a =

Posted 2 months ago

Question

p=x^{2}-7

. Which equation is equivalent to

(x^{2}-7)^{2}-4x^{2}+28=5

p

1

\newline

p^{2}-4p+23=0

\newline

p^{2}+4p-5=0

\newline

p^{2}-4p-5=0

\newline

p^{2}+4p+23=0

Posted 2 months ago

Question

m=2x+3

. Which equation is equivalent to

(2x+3)^{2}-14x-21=-6

m

1

\newline

m^{2}+7m+6=0

\newline

m^{2}-7m-15=0

\newline

m^{2}-7m+6=0

\newline

m^{2}+7m-15=0

Posted 2 months ago

Question

m=x^{2}+3

. Which equation is equivalent to

(x^{2}+3)^{2}+7x^{2}+21=-10

m

1

\newline

m^{2}-7m+31=0

\newline

m^{2}+7m+31=0

\newline

m^{2}-7m+10=0

\newline

m^{2}+7m+10=0

Posted 2 months ago