👉 Try now NerdPal! Our new math app on iOS and Android

Solve the quadratic equation $15t-\frac{49}{10}t^2-17=20$

Step-by-step Solution

Go!
Math mode
Text mode
Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

Final Answer

$t=\frac{75}{49}+2.282158i,\:t=\frac{75}{49}-2.282158i$
Got another answer? Verify it here!

Step-by-step Solution

Specify the solving method

1

Group the terms of the equation by moving the terms that have the variable $t$ to the left side, and those that do not have it to the right side

$15t-\frac{49}{10}t^2=20+17$

Learn how to solve quadratic equations problems step by step online.

$15t-\frac{49}{10}t^2=20+17$

Unlock unlimited step-by-step solutions and much more!

Create a free account and unlock a glimpse of this solution.

Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation 15t-49/10t^2+-17=20. Group the terms of the equation by moving the terms that have the variable t to the left side, and those that do not have it to the right side. Add the values 20 and 17. Rewrite the equation. For a simpler handling of the equation, change the sign of all terms, multiplying the entire whole by -1.

Final Answer

$t=\frac{75}{49}+2.282158i,\:t=\frac{75}{49}-2.282158i$

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for tFind the rootsSolve by factoringSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

Give us your feedback!

Function Plot

Plotting: $15t-\frac{49}{10}t^2-17-20$

SnapXam A2
Answer Assistant

beta
Got a different answer? Verify it!

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

How to improve your answer:

Main Topic: Quadratic Equations

The quadratic equations (or second degree equations) are those equations where the greatest exponent to which the unknown is raised is the exponent 2.

Your Math & Physics Tutor. Powered by AI

Available 24/7, 365.

Unlimited step-by-step math solutions. No ads.

Includes multiple solving methods.

Support for more than 100 math topics.

Premium access on our iOS and Android apps as well.

20% discount on online tutoring.

Choose your subscription plan:
Have a promo code?
Pay $39.97 USD securely with your payment method.
Please hold while your payment is being processed.
Create an Account