Question
Solve the quadratic equation
Solve using the quadratic formula
Solve by completing the square
Solve using the PQ formula
m1=71−43,m2=71+43
Alternative Form
m1≈−0.79392,m2≈1.079634
Evaluate
7m2−2m−3=3
Move the expression to the left side
7m2−2m−6=0
Substitute a=7,b=−2 and c=−6 into the quadratic formula m=2a−b±b2−4ac
m=2×72±(−2)2−4×7(−6)
Simplify the expression
m=142±(−2)2−4×7(−6)
Simplify the expression
More Steps

Evaluate
(−2)2−4×7(−6)
Multiply
More Steps

Multiply the terms
4×7(−6)
Rewrite the expression
−4×7×6
Multiply the terms
−168
(−2)2−(−168)
Rewrite the expression
22−(−168)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
22+168
Evaluate the power
4+168
Add the numbers
172
m=142±172
Simplify the radical expression
More Steps

Evaluate
172
Write the expression as a product where the root of one of the factors can be evaluated
4×43
Write the number in exponential form with the base of 2
22×43
The root of a product is equal to the product of the roots of each factor
22×43
Reduce the index of the radical and exponent with 2
243
m=142±243
Separate the equation into 2 possible cases
m=142+243m=142−243
Simplify the expression
More Steps

Evaluate
m=142+243
Divide the terms
More Steps

Evaluate
142+243
Rewrite the expression
142(1+43)
Cancel out the common factor 2
71+43
m=71+43
m=71+43m=142−243
Simplify the expression
More Steps

Evaluate
m=142−243
Divide the terms
More Steps

Evaluate
142−243
Rewrite the expression
142(1−43)
Cancel out the common factor 2
71−43
m=71−43
m=71+43m=71−43
Solution
m1=71−43,m2=71+43
Alternative Form
m1≈−0.79392,m2≈1.079634
Show Solution
