We need to solve the provided equations for $x$. The equations are: 21. $x^2 = B$ 22. $x^2 + A = B$ 23. $x^2 - A = M$ 24. $b = a + x^2$ 25. $C - x^2 = m$ 26. $n = d - x^2$ 27. $mx^2 = n$ 28. $b = ax^2$ 20. $x^2 + 1 = 17$ 19. $x^2 = g$

AlgebraEquationsSolving EquationsQuadratic EquationsSquare Roots
2025/7/4

1. Problem Description

We need to solve the provided equations for xx. The equations are:
2

1. $x^2 = B$

2

2. $x^2 + A = B$

2

3. $x^2 - A = M$

2

4. $b = a + x^2$

2

5. $C - x^2 = m$

2

6. $n = d - x^2$

2

7. $mx^2 = n$

2

8. $b = ax^2$

2

0. $x^2 + 1 = 17$

1

9. $x^2 = g$

2. Solution Steps

2

0. $x^2 + 1 = 17$

Subtract 1 from both sides:
x2=171x^2 = 17 - 1
x2=16x^2 = 16
Take the square root of both sides:
x=±16x = \pm \sqrt{16}
x=±4x = \pm 4
2

1. $x^2 = B$

Take the square root of both sides:
x=±Bx = \pm \sqrt{B}
2

2. $x^2 + A = B$

Subtract AA from both sides:
x2=BAx^2 = B - A
Take the square root of both sides:
x=±BAx = \pm \sqrt{B - A}
2

3. $x^2 - A = M$

Add AA to both sides:
x2=M+Ax^2 = M + A
Take the square root of both sides:
x=±M+Ax = \pm \sqrt{M + A}
2

4. $b = a + x^2$

Subtract aa from both sides:
x2=bax^2 = b - a
Take the square root of both sides:
x=±bax = \pm \sqrt{b - a}
2

5. $C - x^2 = m$

Subtract CC from both sides:
x2=mC-x^2 = m - C
Multiply by -1:
x2=Cmx^2 = C - m
Take the square root of both sides:
x=±Cmx = \pm \sqrt{C - m}
2

6. $n = d - x^2$

Subtract dd from both sides:
nd=x2n - d = -x^2
Multiply by -1:
x2=dnx^2 = d - n
Take the square root of both sides:
x=±dnx = \pm \sqrt{d - n}
2

7. $mx^2 = n$

Divide both sides by mm:
x2=nmx^2 = \frac{n}{m}
Take the square root of both sides:
x=±nmx = \pm \sqrt{\frac{n}{m}}
2

8. $b = ax^2$

Divide both sides by aa:
x2=bax^2 = \frac{b}{a}
Take the square root of both sides:
x=±bax = \pm \sqrt{\frac{b}{a}}
1

9. $x^2 = g$

Take the square root of both sides:
x=±gx = \pm \sqrt{g}

3. Final Answer

2

0. $x = \pm 4$

2

1. $x = \pm \sqrt{B}$

2

2. $x = \pm \sqrt{B - A}$

2

3. $x = \pm \sqrt{M + A}$

2

4. $x = \pm \sqrt{b - a}$

2

5. $x = \pm \sqrt{C - m}$

2

6. $x = \pm \sqrt{d - n}$

2

7. $x = \pm \sqrt{\frac{n}{m}}$

2

8. $x = \pm \sqrt{\frac{b}{a}}$

1

9. $x = \pm \sqrt{g}$

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