What are the solutions to the equation a^2+10/7 a+25/49 =0 ?

The solutions to the equation a^2+10/7 a+25/49 =0 are a=-5/7

Find the zeros of a^2+10/7 a+25/49 =0

The zeros of a^2+10/7 a+25/49 =0 are a=-5/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

a^{2} + \frac{10}{7} a + \frac{25}{49} = 0

a = - \frac{5}{7}

Decimal Notation

a = - 0.71428 \dots

Solution steps

a^{2} + \frac{10}{7} a + \frac{25}{49} = 0

Find Least Common Multiplier of

7, 49 : 49

Multiply by LCM=

49

a^{2} \cdot 49 + \frac{10}{7} a \cdot 49 + \frac{25}{49} \cdot 49 = 0 \cdot 49

Simplify

49 a^{2} + 70 a + 25 = 0

Solve with the quadratic formula

a_{1, 2} = \frac{- 70 \pm 7 0 ^{2} - 4 \cdot 49 \cdot 25}{2 \cdot 49}

7 0^{2} - 4 \cdot 49 \cdot 25 = 0

a_{1, 2} = \frac{- 70 \pm 0}{2 \cdot 49}

a = \frac{- 70}{2 \cdot 49}

\frac{- 70}{2 \cdot 49} = - \frac{5}{7}

a = - \frac{5}{7}

The solution to the quadratic equation is:

a = - \frac{5}{7}

420

3 k^{2} + 10 k + 7

lo g_{1} (2)

350 \cdot 46 = n

∣ 2 x - 11 ∣ < 3

What are the solutions to the equation a^2+10/7 a+25/49 =0 ?
The solutions to the equation a^2+10/7 a+25/49 =0 are a=-5/7
Find the zeros of a^2+10/7 a+25/49 =0
The zeros of a^2+10/7 a+25/49 =0 are a=-5/7