Solve the equation. x^{2}+7x+10=0

Weltideepq

Weltideepq

Answered question

2021-11-20

Solve the equation.
x2+7x+10=0

Answer & Explanation

Thouturs

Thouturs

Beginner2021-11-21Added 12 answers

Step 1
Given equation is x2+7x+10=0.
To solve the given equation.
Solution:
Solving the given equation.
x2+7x+10=0
x2+5x+2x+10=0
x(x+5)+2(x+5)=0
(x+5)(x+2)=0
(x+5)=0 or (x+2)=0
x=-5 or x=-2
Therefore, solution is x=−5 or x=−2.
Step 2
Hence, required solution is x={-5, -2}.
Vaing1990

Vaing1990

Beginner2021-11-22Added 16 answers

Step 1: Use the formula for the roots of the quadratic equation
x=b±b24ac2a
In the standard form, determine a, b and c from the original equation and insert them into the formula for the roots of the quadratic equation.
x2+7x+10=0
a=1
b=7
c=10
x=7±72411021
Step 2: Simplification
x=7±49411021
x=7±494021
x=7±921
x=7±321
x=7±32
Step 3: Divide the equation
x=732
Step 4: Calculation
Convert and isolate the variable to find each solution
x=-2
x=-5
The solution
x=-2
x=-5

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